Owen claimed he was fouled, although he accepted United did not play well.
"Not seen TV replay but don't need to as I know mine was a pen," said the former England striker on Twitter.
"Heard people saying Arsenal should of (sic) had one too so can't complain too much.
"That was a kick in the teeth. We were not happy with our performance but it is important to put today behind us now and focus on things we can affect in the future.
"Still in a great position so time for one final push."