Cooper appeared to put the issue to bed when he tweeted: "I won't be appealing the 1 match suspension as I don't want to be a distraction to the teams prep" on Wednesday night.
However, Reds coach Ewen McKenzie said the club were still examining the written judgement and a transcript of Monday night's marathon judicial hearing to see if they had grounds to appeal Cooper's one-match ban for a dangerous tackle.
But McKenzie did not believe it would be a distraction ahead of their qualifying final against the Sharks at Suncorp Stadium.
"At the moment we have the decision (in writing) ...and we will make a decision," he said.
"It's not just about the tackle...there are a number of aspects which I won't go into that the organisation feels strongly enough to pursue it and keep their options open.
"The business is running that side of it.
"We are preparing for the Sharks and we have asked the players to concentrate on that.
"As the days tick on we have to get on with a pretty important game of rugby."
Queensland Rugby Union chairman Rod McCall said on Wednesday the QRU would speak with governing body SANZAR before making a decision on whether to appeal the ban for a high tackle on NSW Waratahs centre Berrick Barnes.
But time is not on their side - a team can lodge an appeal up to 48 hours after receiving the written judgement.
The Reds received their documentation on Tuesday night.
"Under the current SANZAR protocols, if we were to launch an appeal, we would lose at least a further day of preparation with Ewen and Quade who would both be required to fly to Sydney for another hearing.
"However, we are cognisant of the need to support our player if we feel he has been treated harshly and, in our opinion, we still strongly believe the tackle did not warrant suspension."