Cole was linked with a Deadline-Day move from West Ham to West Brom, one which ultimately failed to work out after the deal was cancelled late on by the east London club.
But the forward says there are no hard feelings between him and current coach Allardyce, after the pair cleared the air with a heated verbal debate.
Cole has since got on with the job he is paid to do at West Ham - play football. And it is his determination to put in a solid shift for his side regardless of the circumstances that he feels West Brom boss Pulis saw in him.
"I was over there and the deal didn't go through," the 31-year-old West Ham striker said.
"The gaffer kept faith in me obviously by starting me against Southampton when I didn't expect it. I want to try to put a solid performance in.
"He knows what he gets from me and that's probably what Tony Pulis saw as well."
Such a selection, although perhaps forced through injury troubles, would add further intrigue to a Cup tie that is already surrounded by plenty of anticipation.