As the Yankees search for Larry Rothschild’s replacement they haven’t limited the focus to college pitching coaches who have strong analytical backgrounds.

The Yankees contacted David Cone and interviewed him late last week at Yankee Stadium for the position.

“It was all good. I’m thankful for the opportunity to talk to them. It was nice they called me in and wanted to talk,’’ Cone told The Post on Tuesday.

Cone, 57 in January, is a former Royals, Mets, Blue Jays, Yankees and Red Sox pitcher who went 194-126 with a 3.46 ERA in 17 big league seasons during a borderline Hall of Fame career in which he was part of four Yankees World Series winners.

And while he is older than Michigan pitching coach Chris Fetter (33) and Arkansas’s Matt Hobbs (39), who preceded Cone in interviewing for the vacancy, Cone is self-taught and well-versed in the analytical aspect of pitching, which he has incorporated into his work as a YES Network analyst for Yankees games.

“I’m very much self-taught, but also I’m not openly campaigning for a job,” Cone said. “When people asked a question about managing the Yankees, I said, ‘If they call…’ [The analytics] are high-tech stuff. I knew what they were talking about.”

Having watched the Yankees’ pitchers from the broadcast booth gives Cone background on what they are about, which could appeal to the Yankees.

While hiring a college coach to handle a big league staff isn’t brand new because the Reds, Twins and Angels have gone that route recently, neither is reaching into the broadcast booth to fill important dugout roles with a person without coaching experience.

The Yankees had no trepidation hiring ESPN broadcaster Aaron Boone to replace manager Joe Girardi following the 2017 season despite Boone not having managed a game at any level. Part of the reason Boone got hired was his willingness to accept analytics from the Yankees’ front office staff and organizational voices throughout the system that GM Brian Cashman vowed to push toward the top of the game in late June.

“Last year we hired Dillon Lawson [from the Astros] to be our hitting coordinator to transition our minor league program into the new world order and making sure we’re using every tool in the toolbox,” GM Brian Cashman said at the time of Sam Briend’s hiring in late June to be the director of pitching development. Briend had been with Driveline Baseball, which uses a sabermetrics approach to measure velocity and conditioning. “There are loads of technology and analytics and data which we are on top of. What we are not on top of, we will close the gap.”