Cole, who created Salomon Kalou's opening goal in the 4-0 UEFA Champions League win on Wednesday night, was replaced 15 minutes from time.
The England international suffered a gash to his leg in a heavy challenge, but the in-form Cole has shrugged off concerns that he may miss Blackburn's visit in the Premier League.
"Hopefully I'll be fine," Cole told Sky Sports News. "I've just got a little gash on my leg, but I'll be fine."
Meanwhile, Cole is hoping to cap this season by winning a major trophy, but acknowledged the battle to secure silverware is as fierce as ever.
He added: "Some players would like to win the Champions League and some would like to win the Premiership.
"For me, to win every competition is the main thing, but to win any trophy at the end of the season is always a bonus because it is getting tougher and tougher."