O'Connor hits back over Ton chief rant.
Rae branded the former Scotland striker "hopeless" last week as he ripped into O'Connor for being unfit.
But the 30-year-old - who has scored once in 11 appearance for Ton - reckons he was unfairly singled out for criticism.
And he claims Rae should have come to him privately with any concerns about his fitness.
O'Connor said: "He could surely have spoken to me at training if he had a problem.
"I have an impingement in my Achilles and I've struggled on our training pitch because it's a 3G artificial one.
"Every time I'm training the ankle bone is rubbing off the Achilles. It's just a niggling pain but I also have problems with my groin from the 3G.
"If we were on grass it would be no problem."
Morton have been anchored to the foot of the Championship for most of the season and O'Connor thinks Rae should be aiming his potshots elsewhere.
He said: "What else can you do if the team's not creating chances and you're a striker who thrives on service? "He should really be critical of the whole team.
"I was lacking fitness and if he was expecting one man to turn everything around in six months then he got it wrong.
"Morton were down before I even came. What did they have, two wins or something?"
O'CONNOR Ton flop