When referring to how poor Burnley's players were performing, Keane said: "I could play in that game."
"He probably could have," Dyche said when asked about Keane's comments on Monday by reporters.
"I don't know if you remember but he was pretty decent, to be fair. It wouldn't surprise me if he could have.
"I don't have a problem with people questioning us. It's part of their jobs. They're pundits for a reason, they have a voice, they have a say. Everyone has got an opinion.
"It's one of the strangest jobs where people are always telling you what you're doing wrong. I don't go to the doctor's and tell him what he's doing wrong, or my lawyer's, or my solicitor's, but apparently with football managers everybody thinks they can do better than us.
"But I've no problem with Roy Keane or anybody else."