Doyle is reported to be interesting Arsenal after scoring nine goals for Wolves last season following a club record £6.5 million move from Reading.
But McCarthy says Arsenal have not been in contact and will only consider losing the Republic of Ireland international if a silly proposal arrives.
"When Kevin said recently that he was pledging his future to Wolves it suddenly caused a stir," McCarthy said. "The reality is that he was saying it to get everybody off his back. Leave him alone and let him play his football.
"Look, if Manchester United come in and offer the club £50 million and give him 200 grand a week, I can't keep him. Then I'll have to say 'thanks, Kevin, all the best, see you'.
"But no, there's not been any approach from Arsenal - I can't be any straighter. Doyle will be a player for us unless someone comes in offering the earth, moon and stars for him."