However, Solskjaer believes that the striker has nothing to prove ahead of the game between Cardiff and the Potters on Saturday.
"When players move away from a club, they sometimes have a point to prove," the Norwegian told reporters. "But then again, I don't think this is the case.
"First of all, I am looking forward to meeting Peter. He is a good lad, a very good player and has done really well for them.
"There are certainly no regrets in letting him go. That's football. You move on."
Odemwingie was sold to Cardiff by West Bromwich Albion last summer.