Owner Steve Lansdown says Bristol City "can hold their heads high" after their FA Cup fourth round defeat by West Ham on Sunday.
The League One club held on until the 81st minute against the Premier League Hammers before Diafra Sakho headed in a late winner at a sold-out Ashton Gate.
"I think Bristol City can be proud. I certainly am, anyway," Lansdown told BBC Radio Bristol.
"You work so hard to get to these points, you've got to enjoy them."
He added: "We can hold our heads up high and now get back to concentrating on the league."
It was the first time City had reached the fourth round of the competition in eight years, and they saw two headers cleared off the Hammers' line before Sakho finally broke the deadlock.
"I am proud of the players but there's also a tinge of disappointment," said manager Steve Cotterill.
"If you look at our performance in the first 30 minutes of the game, we might have done enough to win it.
"But it wasn't meant to be and we've still got a lot to look forward to."
Cotterill's side are currently second in the League One table, behind leaders Swindon on goal difference and with a game in hand.
They will also secure a place at Wembley if they hold on to, or improve, their 4-2 lead against Gillingham in Thursday's Johnstone's Paint Trophy southern area final.
And Cotterill is hoping they can replicate the atmosphere they experienced on Sunday at Ashton Gate.
"We were so pleased with everybody turning up and we thank them for their support," said the City boss.
"Now we've got to make sure we get a full house for Gillingham because that game is going to be important. It's important to me and important to the players."