The Russian striker joined Reading from Stuttgart last summer but only hit five Premier League goals as the Royals struggled in the top flight and were eventually relegated back to the Championship.
The 29-year-old has played just seven minutes in the second tier so far this season and looks likely to leave the club before the transfer window shuts.
Several clubs in Russia are reportedly keen on snapping up the former Spartak Moscow frontman and Pogrebnyak admits a move back to his homeland appeals to him, though he was quick to play down speculation linking him with Celtic.
"At the moment I have to concentrate on my club career. I can't rule out that I'll move to another club." He told itar-tass.com. "But so far there's nothing concrete. But at the present situation I think I'm ready to think over offers coming from Russia.
"I told him [Reading manager Nigel Adkins] that I've been trying to look for new possibilities as the transfer market is still open. But I stressed that if I stay then I'll do my best to help the team to win promotion.
"I still have to understand the team's football style in the new season. The football is quite special in the Championship, it's based on long balls and throw-ins. Honestly, for me it's not too interesting to play here. But I have the motivation - go back to the Premier League with the team."
When quizzed on reported interest from Celtic and Rubin Kazan, Pogrebnyak added: "This news made me laugh. These are not true."