Næsager, who is one of the capital's six mayors in charge of a specific policy area, called for the World Cup fan zone area at Islands Brygge to be shut down after two attacks in the last week.
The attack on June 30th left a Swedish football fan seriously injured after an altercation. The man suspected of attacking him turned himself in to police on July 3rd.
"When a public celebration turns into brutal violence and a Swedish guest in a football shirt is left in a serious condition, we need to draw a line in the sand," Næsager, of the opposition Conservatives, wrote in a post on Facebook. "Two serious incidents in just one week is two too many."
He added that the event "does not belong on Bryggen in its current form," while also raising the late nights and noise as an additional issue.
"Islands Brygge is not a festival site in the middle of nowhere ‒ it's a heavily populated residential area. Many Copenhageners need to get up and go to work and live their daily lives the next day. Copenhagen should be a lively city, yes, but it also needs to be a city you can live in."
However the mayor for culture, Christopher Rohl, of the Social Liberals (who are in government), disagreed with Næsager in an interview with public broadcaster DR.
"It's a very serious situation but his reaction is the wrong one. The event isn't the issue, rather the thugs are," Rohl told DR.
"The police aren't calling for the event to shut down either. I think it would be sad to stop the celebration and the sense of community around the World Cup because of these events."
Rohl also called for Fodboldfesten, the organisation behind the event, to step up alongside police to ensure safety for those attending viewings, while adding that they are already hiring more security staff and putting up more cameras around the site.
Fodboldsfesten confirmed to DR that there will be more staff at the next screenings with body cameras, screening at entrances and increased surveillance.