The 26-year-old was linked with a move to England throughout his spell with Celtic and the player's agent has indicated he would still be interested if a transfer was on the cards
The 26-year-old made his move to the Russian outfit from Celtic two years ago and, after a slow start last season, has netted twice in nine games so far this term.
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The Ireland international was surrounded by speculation linking him with a move to England during his career in Scotland, with Aston Villa and Sunderland the main clubs reportedly interested.
The player's agent, Jan Dreyer, suggested that there are still clubs monitoring his client's situation, with his form in Russia picking up, while revealing McGeady would listen to Premier League sides.
"There has been interest in Aiden from English clubs going right back to when he played for Celtic, so it's nothing new," he told the Daily Record.
"Now Aiden is doing well in the Russian Premier League and is about to play in the Champions League, so that will only add to interest in him.
"If Spartak received a serious offer, Aiden would definitely consider it."
The Glasgow-born attacker will face his former side in the Champions League qualifying stages this year, with Benfica and Spanish giants Barcelona making up Group G.