Los Angeles Galaxy have been mooted as a possible destination, as they look to cover the departure of David Beckham, although their boss Bruce Arena this week refused to discuss the possibility of the move.
Terim was similarly coy in quotes attributed to him on Spanish website AS, saying: "If there is contact with the player only the president knows. I know nothing about it."
Terim was more forthright after the weekend win, which kept Gala top of the Turkish Super Lig, when speaking to local reporters.
"The president asked me if I wanted to sign Diego Ribas or (Wesley) Sneijder," he said.
"I told him I wanted Kaka."