Ford Motor Co. Chairman Bill Ford called President-elect Donald Trump to extend an olive branch this week, saying the Dearborn, Mich., auto maker is shelving a plan to move production of a Lincoln crossover SUV from Kentucky to Mexico. Mr. Trump tweeted about the call Thursday night and Ford quickly confirmed the move.

As the debate heats up over moving manufacturing jobs overseas, here’s a rundown of what exactly has changed in Ford’s plans—and what hasn’t.

What...