'Yorkshire's favourite airline' came to Derby on Wednesday with the aim of giving away around 100 tickets to European destinations.
But the publicity stunt, which involved asking members of the public to chase spandex-clad members of its ‘morph squad’ to get airline tickets, got out of hand.
Newspapers have described the event as "chaos" after several people posted to the company’s Facebook page to say they or others got hurt in the ensuing scrum.
One Derby resident, Jennifer Topham, posted: "It was so badly done... it turned out to be a mob of people attacking each other and it was not worth getting injured for it. A lot of people got hurt... hardly fair and was not worth fighting for."
Charlene Coy said she visited the event with a friend as well as a baby and toddler and said her partner had to look after them because "people were attacking each other".
She posted: "I have never seen anything like it at all. We got elbowed in the face for what some hooligans of men scrambling for tickets. Not impressed."
Following the event, Jet2 posted on its Facebook page and congratulated people on getting hold of one of the 300 tickets it gave away at Derby and two previous events, urging people to "watch this space" for future events.
But another Facebook poster, Kayleigh Hellewell, retorted: "Watch this space? For what? It's awful some people got violent about it as it's not worth that for some tickets but come on Jet2, you only have yourself to blame for the awful management of it all."
A spokeswoman for Derby Council said companies usually informed it of events such as these as a courtesy but that it had not received any request from Jet2 beforehand.
The spokeswoman added: "The council would appreciate a dialogue with Jet2 should they wish to repeat their publicity event in the city centre at any point in the future."
A Jet2 spokeswoman initially said the company had sought permission for the event, but later retracted the comment.
"We didn’t get permission but we were only there for about 20 minutes," she said. "Councils have different rules and it is not always the case that you need permission."
She continued that coverage of the scramble to get tickets in Derby had been "blown out of proportion", and added: "It’s the first time we’ve had a bit of a scuffle. A couple of people pushed a bit but most people had a very nice time. We can’t legislate for the crowd getting out of hand and we have never had a situation like this before."