Fellaini was handed a three-match ban after the FA reviewed footage of his clash with the Stoke skipper on Saturday.
He was also involved in two other incidents that could have seen his suspension extended.
And Stoke striker Owen said: "Fellaini displayed the ugly side of football not once but three times.
"While I don't condone his seemingly persistent attack, I admire the way his manager David Moyes handled the situation.
"I'd also hazard a guess that the management forcefully advised Fellaini to make a public apology and try to dampen the flames. It was the right course of action and given the TV cameras had all three incidents covered in their entirety, there was nowhere for him to hide."