The 29-year-old joined the Royals on a free transfer from Stuttgart last summer following a successful six-month loan spell with Premier League rivals Fulham.
The Russia international striker has hit eight goals in 30 appearances across all competitions this season but has been unable to prevent the Royals from dropping straight back into the Championship.
That has put his future at the club in doubt even though he is only one year into a four-year deal at the Madejski Stadium.
When quizzed on his future, Pogrebnyak revealed he would consider offers from his native Russia but staying in England would be his preferred choice.
"Of course I'll check all the offers," he told rsport.ru. "Top teams from Russia? Of course I want to have a look at them.
"But I didn't expect I would be in a situation like this. Of course, I'd prefer staying in England."