The Everton boss is out of contract at the end of the season, and his future is the subject of speculation
"Of course I would be keen if he signed, he showed confidence in me by bringing me to club," the Belgian international forward told Sky Sports.
"He has been Everton for many years and is very popular with the fans, chairman and players and I am sure he will sign, I cannot see why he wouldn't because of those reasons."
Mirallas admits that he would love the chance to win the FA Cup and qualify for the Champions League this term.
"If it was down to me winning a trophy would be great, but Champions League qualification would be fantastic."