The Republic of Ireland international is nearing the end of his contract with the Russian club and could be set for an exit as early as January
Spartak general director Roman Askhabadze revealed that, while the club was willing to open contract negotiations with the winger, they would also consider "a good offer" in the January transfer window.
"The club is willing to discuss a new contract for Aiden at any time," said Askhabadze is quoted as saying in the Daily Record. "But if we get a good offer this winter, we would be willing to consider it."
Former Celtic attacker McGeady, 27, joined the Russian outfit in August 2010 and is approaching the end of his contract with the club.
Meanwhile, Brighton and Hove Albion winger Will Buckley has revealed his intentions to play international football.
The 23-year-old winger, who has had spells at Rochdale and Watford, qualifies for the Republic of Ireland through his maternal grandparents and admitted that he would be keen to play internationally.
"Everyone wants to play international football," Buckley told the Argus. "For the last two years it has probably been a bit rare for Brighton to have as many players as we've had travelling on an international break to their respective countries.
"It's good for the club and good for the lads. It's the key part of your career, the top really."