Tampa Bay has not officially announced any coaching moves at this time.
Gruden was sacked 10 years ago this month.
Other known candidates include Chiefs offensive coordinator Eric Bieniemy, Vikings defensive coordinator George Edwards and Cowboys defensive coach Kris Richard. In a press conference, General Manager Jason Licht said a new coach would have the opportunity to bring his own staff on board.
His retirement was a big blow to Arizona and it certainly it appeared as though Arians, who had notable medical issues the last few years in Arizona, was done. Now we will see if he can work the same magic with the Bucs that he did for the first three years he coached the Cardinals.
The day after Koetter was sacked, Licht made it clear that whoever wound up replacing the coach would inherit Winston as his starting quarterback.
Winston is entering the final year of his rookie contract.
The 25-year-old has 75 career turnovers, including 58 interceptions. In his three years in Arizona before that lone campaign under.500, Arians helped the team improve from 10-6 to 11-5 to 13-3 in 2015.
Through four seasons, that dream of a championship has gotten off to a slow start.
He has a reputation for developing quarterbacks like Peyton Manning, Ben Roethlisberger and Andrew Luck.