Town manager Mark Cooper promised the young midfielder, who is on loan from Tottenham, as much after seeing his 10 men hold on for a battling point at Ashton Gate.
Cooper described Pritchard's two-handed push on Wade Elliott after being fouled by the City midfielder as "ridiculous".
He said: "Pritch took a couple of heavy tackles, but he has not given the referee any option with his reaction and hopefully he will learn from what happened. He will receive a nasty fine.
"But in fairness to him he waited by the dressing room door and shook everyone's hand at the end, saying how sorry he was."
Cooper added: "We have taken a bit of criticism of late but a lot of the players are coming to the end of their first season of senior football and they have shown they can play.
"City got a lot of crosses in during the second half and we defended them really well. It was goalkeeper Wes Foderingham's first game back after injury and when he had to make saves he did so."
Foderingham saved well from Jay Emmanuel-Thomas and Sam Baldock, while centre-backs Troy Archibald-Henville and Jack Stephens were outstanding in repelling some threatening City attacks.
Home keeper Frank Fielding had to make a fine double save from Michael Smith after 57 minutes but after that his side poured forwards, aided by some attacking substitutions, without conjuring up a finish.