Dzagoev , 22, scored three goals at Euro 2012.
His father, Tariel Dzagoev, said: "I don't know if he will stay at CSKA. There are offers — from Spurs and other foreign clubs.
"But I tell him not to hurry. Yuri Zhirkov ran off to Chelsea and sat on the bench."
Dzagoev is eager for a move, though, and earlier admitted: “It is true that I am willing to try myself in other clubs, in another league, in Europe."