The sharp, hilarious look at the hell of being an agent already features everyone from Juliette Binoche to Isabelle Huppert sending themselves up. Now, Hollywood has come knocking

Before Cannes rolls around with its annual reminder that, try as the world might, there’s no stealing France’s crown when it comes to le cinéma, le vrai, there are three seasons of a total gem of a French TV show on Netflix right now to get you in the mood.

Call My Agent, which launched in 2015 on the public France 2 channel, details the daily shenanigans at one of the two biggest (fictional) film agencies in Paris: Agence Samuel Kerr, or ASK as it is known. It’s a dog-eat-chien world of highly-strung agents vying for influence and access, put-upon assistants, singing receptionists, a literal lapdog called Jean Gabin, and a whole lot of real-life talent. And it is this talent that pushes the series well beyond the standard show-about-showbiz trope. Call My Agent has featured a steady stream of frankly awesome guest stars – from Isabelle Adjani and Monica Bellucci to Isabelle Huppert – each playing a very believable yet fictional version of themselves.

The pilot opens with an unannounced arrival (of ingénue Camille, aggro agent Mathias’s hidden daughter) and an untimely death (of founder Samuel Kerr, who swallows a wasp while on holiday in Brazil). Mathias and his colleagues, Andréa, Gabriel and Arlette, are thrown into a frenetic power struggle both among themselves and in the wider film industry. Stars threaten to leave ASK, Kerr’s widow and heir threatens to shut up shop, and private passions, usually held at bay, threaten to derail everything.

Facebook Twitter Pinterest Picture perfect ... Isabelle Adjani in Call My Agent. Photograph: France 2/Netflix

If the show’s premise is somewhat predictable, its handling of fame is altogether less so. Each episode features a titular guest star – BéatriceDalle, Cécile de France, Guy Marchand – but rather than being written as the focal point, the big name is instead that day’s worry to assuage, the problem to be fixed. Call My Agent does that rare thing that interviews often fail to achieve, and makes these people, who live decidedly abnormal lives, very normal.

There are administratively challenged actors who need help answering emails and vetting nannies, and matrimonially challenged stars who want help finding a date. There’s the actor who can’t drive, the actor who can’t swim and the actor who suddenly can’t act. There’s one who, as Andrea puts it, is “doing a Day Lewis”, and can’t stop acting, unable to come out of a very intense Revenant-style survival role. He ends up being dropped from his subsequent gig as a clean-shaven banker when he literally attacks the producer’s dog, with his teeth.

However, instead of ramping up the self-deprecation implicit in these big-screen stereotypes as Extras did, or as you can imagine a W1A-style British remake might, the talent here is treated with tenderness, and not a small amount of poetry. And by ‘talent’ I mean not just the people (actors and directors) but the artform itself: the show is an ode to cinema. It is French, after all.

Call My Agent is also properly funny. Fanny Herrero, the show’s co-creator, has singled out Aaron Sorkin’s sing-song patter in The West Wing as a reference point, and the show buzzes with dialogue as electric as the main cast’s delivery is sharp. Breakout star Camille Cottin’s Andréa – all stiletto pumps and swagger – can go from whispered nonchalance to fury in seconds, as can Grégory Montel’s sweet, bumbling Gabriel. In fact, the entire cast can fly off the handle seemingly on command to pitch-perfect comedic effect. Jonathan Coe was right when he tweeted in February that the show is “the sharpest, lightest, funniest, warmest thing on screen at the moment.”

The material for all of it comes from co-creator Dominique Besnehard, an actor and director who spent two decades as the most well-known agent in France. The man’s CV reads like a history of contemporary French cinema. From Jacques Doillon onwards, he’s worked with everyone. Which is to say that not only are the guests in Call My Agent mostly names in Besnehard’s own address book, the storylines are rooted in his lived experience. It all happened, he repeatedly tells the press.

The Cannes-specific episode at the end of season two, which features Juliette Binoche in excellent free-wheeling form, is reminiscent of Sophie Marceau’s legendary Palme d’Or presentation speech in 1999, where she was booed off after rambling about Cannes being rubbish and children being ill and le cinéma being better than war. And Besnehard would know all about that incident, because he was the lemon who had to get her there: Marceau was his client at the time.

Facebook Twitter Pinterest Mathias (Thibault de Montalembert) in Call My Agent. Photograph: France 2/Netflix

The fourth season of Call My Agent is slated to start filming in October, and Marceau’s name has been floated for an upcoming cameo, as have those of Gérard Depardieu and Marion Cotillard. Besnehard recently said that since the show has been on Netflix, actors in the US including Kevin Kline have been ringing him up asking to take part.

Besnehard, though, has his heart set on someone else: Jane Fonda, yelling at an agent the way Jeanne Moreau once yelled at him in Canada. He and Moreau – his client at the time – were en route to a film shoot in Quebec, which she was particularly excited about because of a love affair with a Canadian woodsman in her youth. They got to immigration, where the officer, a woman, promptly gasped, “Mais Jeanne Moreau, you’re still alive!”

As the agent, Besnehard caught the flak for this insult, and he can’t think of anyone else with both the comedic chops and iconic status to pull off a similar scenario than Fonda. Besnehard told an audience in February that he’s got the director of Cannes himself on the case: “Si tu m’aimes”, he said looking Thierry Frémeau straight in the eye, hook me up with Jane. Watch the Béatrice or the Isabelle episodes, and you’ll be willing Frémeau on too.