Various newspapers in Italy have tipped Mancini to move back to the San Siro after reports suggested the club had expressed an interest in the Italian.
Walter Mazzarri's position as coach of Inter has come under scrutiny after a run of four games without victory in Serie A, despite reassurances from president Erick Thohir.
"My work here at Galatasaray will continue," Mancini said to Sporx.com.
"What is said about Inter is a lie.
"The same is true of the rumours linking me with the national team job in the future.
"I have a contract with Galatasaray and I will stay here."
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