The summer arrival of Emmanuel Adebayor, and last year's purchase of Rafael van der Vaart from Real Madrid, has caused Pavlyuchenko to drop down to fourth in the pecking order of frontmen at White Hart Lane.
"If he wanted to go and it was a good offer, then we would look at that, for sure," Redknapp said.
"He's not a player that I'm looking to move. I like him. He's a good person, good player. I hope he can have a good season."