Estevan Florial is exactly the prospect the Yankees envisioned, even if they didn’t envision his name.

Among the Yankees’ additions from the 2014 international signing period was Haniel d’Oleo, a then-17-year-old out of the Dominican Republic who did not project to have a weakness. The Yankees saw the bat speed, the foot speed and the strong arm for a lefty-hitting outfielder, built for Yankee Stadium.

They did not see his birth certificate.

Florial was born in Haiti, and his mother moved them to the Dominican Republic, where she sought getting her son enrolled in school. That proved a lot easier when there was paperwork already filed for a “Haniel d’Oleo,” so Florial assumed that identity and became a new person.

The new person became one of the most prized prospects in the nation, one of the teenagers on the Yankees radar — even after the name discovery was made, even after he was suspended for a year by Major League Baseball for his paperwork problem. His mother flew back to the Dominican Republic and got his birth certificate and with it a new name, his old one: Estevan Florial.

The year-long ban now long over — “I learned a lot” about hitting Florial said about his downtime — that player is now the fourth-best prospect, according to MLB.com, of a team with one of the best systems in baseball after debuting in 2015 and coming into his own this season.

“I’m just happy to be here, to be playing baseball every day,” a jovial Florial said over the phone Saturday from High-A Tampa, where he bounces around the outfield, primarily playing center.

There’s a lot to be happy about. The 19-year-old dominated Single-A Charleston until his Aug. 1 promotion, and he’s only gotten hotter in Tampa. Between the two levels, he’s slashing .298/.374/.476, a power threat (12 home runs in 103 games), a stolen-base threat (22 in 30 tries) and an imposing outfield arm (10 assists).

But Florial’s highlight was July 9, the Futures Game, when his mother could see him on TV for a first time.

“She watched from the Dominican Republic and I was really excited for that,” Florial said. “When I told her I was going to be on TV I could tell she was so excited.”

It was a moment that seemed impossible after the name discrepancy, for the Yankees to stick by the prospect they loved, for the player to rise to the stature of one of the best prospects in baseball, for the mom to witness it all.

Not for Florial, though.

“No, never,” Florial said when asked if he thought his day would never come. “I knew I would get my chance.”

As a baseball player, Florial said he models himself after Pittsburgh’s Andrew McCutchen — “I love the way he plays center field” — and also admired Barry Bonds growing up.

Florial’s stock rises with every ball he sprays to each field. As a 19-year-old in Tampa, he’s the team’s youngest player and, typically, its No. 3 hitter — or was, until hitting the disabled list Thursday after jamming his finger sliding into a base. (He said it was nothing serious and he would be back soon.)

His climb helped make Blake Rutherford expendable, the center fielder being one of the centerpieces in the blockbuster trade with the White Sox. Rumors persisted that Florial’s name was bandied about, too, but the Yankees held onto the prospect with the higher upside.

“No, no, it didn’t bother me. I try not to worry about that stuff,” Florial said about the trade rumors.

After his journey to the minor leagues, there doesn’t seem to be much he still can worry about.