Quarles says Robinette, a 6-foot-4, 190-pound quarterback, was "disappointed" upon learning of the depature of Davis.
"He really, really likes Coach [John] Shoop and those coaches," Quarles said. "I think it bothered him."
Robinette has since spoken to Shoop, according to Quarles.
"Coach Shoop asked him to hang in there and stay committed and stay positive – and that's what he's done so far," Quarles said.
Quarles believes when all is said and done, Robinette will sign with UNC come Signing Day.
"Unless they do something just totally crazy with the hire and bring in someone totally different then what they've been doing, I think Patton will hang in there," Quarles said. "He really loves the school and the area, [and] got along with the players."
According to Quarles, Robinette fits the mold of the type of quarterback Shoop covets – a pocket passer with some mobility.
"I think he's a pro-style guy," Quarles said. "He's not quite a dual threat guy, but he is a guy that's athletic enough to get a first down or keep a play alive with his legs. He's very, very, very smart. He has a great understanding of the game. And, more importantly, I think he's a winner.
"He's a guy that may not come in and be your starter (right away), but he's going to be one that if he continues to work and grow, his best football days are ahead of him. He has not played a whole lot of quarterback – last year was really the first year he got to play."
Robinette is 14-1 as a starting quarterback and helped Maryville win a TSSAA 6A Championship. He ended his junior season with 1,804 yards, 21 touchdowns, and one interception on 104-of-152 passing (68-percent), and 971 yards and 11 touchdowns on 118 rushes.