Cole was cut loose this week by the Hammers.
"I want to move back into a more central position and I want to go to the club where I have a good connection with the manager," Cole told talkSPORT.
"My relationship with West Ham is great, but obviously it didn't work towards the end of this season, I didn't play enough.
"I'm just going to take my time over the summer and find the right fit. At this stage finances are not important for me."
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