Cole came on as a second half substitute for Villa in their 2-1 semi-final win against Liverpool on Sunday.
"It's a tough game and they've been brilliant," said the former England international and Chelsea midfielder.
"They're a top side and [Arsene] Wenger's really turned it around for them. They want to put another bit of silverware on the table.
"It's going to be tough, no doubt, but it we play like we did today and last week [1-0 win against Tottenham] then we'll be all right."