Defoe joined Rangers on an 18-month deal from Bournemouth, which reunited him with his former international teammate Steven Gerrard - whom he explained was a major influence on his decision-making.
"There was interest (from Crystal Palace)," revealed the veteran Englishman. "I had to weigh it all up, and I fancied something different to be honest, I fancied a different challenge. It (Rangers) is a massive football club and I am coming into an environment where everyone is confident. The Palace one was lingering for years - I know a lot of people down there, [coach] Mark Bright, a lot of the players. It is obviously a fantastic football club, with a top manager [Roy Hodgson].
"But I spoke to Stevie and decided to come here, because it is a great opportunity for me. When he got the job, it did make me think a little bit, and so far he is a natural."
But Crystal Palace could yet have the last laugh - that's if reports in the Scottish media are to be believed.
According to The Scottish Sun, the Eagles are plotting a £20 million move for a different Rangers striker, Alfredo Morelos, in January.
The newspaper adds that Gerrard will not welcome bids for Morelos, whom he is desperate to keep until at least the summer.
But even if takes until then to prise away the Colombian - who has scored 15 goals in 20 games for Rangers this season - Defoe's situation - as things stand, he'll be free to join a club of his choosing at the end of the campaign (although he recently expressed a desire to extend his Ibrox stay - could leave the Scottish giants and their new director of football, Ross Wilson, sweating over both of their primary goalscoring options.
That being said, there may be a 55th Premiership title to take their mind off things beforehand.
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