The 28-year-old completed a €3.5 million move to Galatasaray on Tuesday following a six-year stint at the Emirates.
The Ivorian has now suggested that arch rivals Spurs made contact over a proposed switch to White Hart Lane before he opted for life in Turkey.
Speaking to Sky Sports News, Eboue said: "Before I went to Galatasaray, I had many contacts - from Tottenham and many other clubs in Europe."
Eboue also revealed that Fatih Terim, who is currently in his third spell in charge of the club, was a major factor in his decision to join Galatasary, and came highly recommended by his former boss, Arsene Wenger.
"The reason why I've signed for Galatasaray is that the manager wants me here and he wants me to play, so that gave me more confidence to come here," he added.
"When I spoke to Arsene Wenger about it, he said the manager here is a really nice guy. So when he told me that I was happy and I said 'okay, I'll come here to see if it's true or not'.
"Everyone was so happy to see me and now this is another challenge for me. I've promised to my new manager that I'll give everything for him and for myself."