The defender was shown a straight red card by Mr Fletcher in the 61st minute, just 2 minutes after Will McDonagh had equalised for them.
However, on the grounds that Andrews appeared to take the ball before bringing down Ben Burgess, as well as having a covering defender beside him, Carlisle are appealing against him serving a one-match ban.
Team-mate Richie Foran will miss their match against Lincoln in a fortnight after his red card. The forward was shown his second yellow card immediately after being substituted in the 77th minute and was sent down the tunnel.
Carlisle lost the match 2-1 after Jamie Forrester scored a 75th minute winner.