Grant McCann was delighted with the spirit and determination his side showed in fighting back from two goals down to stun Fleetwood.
Paddy Madden’s low finish and Wes Burns’ deflected effort looked to have put the Cod Army on course for the Papa John’s Trophy quarter-finals.
Mallik Wilks gave the Tigers a lifeline with 12 minutes remaining when he nodded in George Honeyman’s corner from close range.
It was from another Honeyman set-piece that Hull City equalised two minutes later, Keane Lewis-Potter stabbing home after Alfie Jones had hit the post with a header.
Just when the tie appeared destined for penalties, a Honeyman corner broke for ex-Fleetwood man Lewie Coyle to thunder an unstoppable effort into the top corner to secure a thrilling 3-2 win.
“I thought the players showed unbelievable spirit, drive and determination to come back from 2-0 down," said McCann.
“We were excellent in the second half. We got done with a free-kick, edge of the box, deflection, that put us 2-0 down.
“But the determination to come back and win the game was excellent from the players. You could see the drive in the second half – I thought it was excellent.
“It was thoroughly deserved for the second-half performance.
“I always felt if we got one back, we’d have a really good chance. It was nice to see Mallik pop up with that goal – a great ball from George (Honeyman) and excellent movement from Mallik to get on the end of it.
“We scored another goal from a set-play. Alfie probably should have scored when he hit the post but Keano was there to tap it in.
“The last one also came from a set-play – all three from George Honeyman. What a strike. Unbelievable strike.
“I wanted to run down the touchline when he whacked that in but unfortunately there were no fans here!
“It was a tremendous strike to get us into the next round.”