The Saddlers have been drawn at home to Carlisle United in the second round on November 26 - a game many will see as a winnable tie and a chance to gain a plum tie in the next round.
But Flynn said since the draw has been made, nobody at the training ground or within the club has mentioned the tie.
He said: "I won't start thinking about the FA Cup until after the Crawley game
"I wouldn't care whether we were playing Chelsea, Manchester City or Liverpool, the league is the priority for now and will remain so until the Carlisle game comes around.
"I haven't had to instill that into the players, they didn't even mention it the day after the draw was , except perhaps to say it was good to get a home draw but any thoughts of the game are on the back burner until the week leading up to it."
The date and time for the Carlisle game has been confirmed as Saturday November 26 with a 3pm kick off.