Video report by ITV Channel's Emma Volney
French traders operating the Norman Market in St Helier say turnout has been lower than they were hoping for this year.
ITV Channel TV has seen comments from islanders on Facebook, calling on others to boycott the market "in solidarity" with Jersey's fishermen.
One said: "Sorry, in support of our fisherman, they won't be getting my custom!"
Another wrote: "Send them to Guernsey, they'll be more welcome there!"
Somebody else said: "Everyone should boycott it after the fishing licence farce."
The market began two days after hundreds of Jersey fishermen staged a protest in the Royal Square, angry at the government's decision to grant more post-Brexit permits to the French.
The annual Norman Market gives people in Jersey the chance to buy and try traditional French food.
The week-long event started on 12 December, a day later than planned due to Condor cancelling some of its sailings from St Malo.
In addition, some stallholders decided to give it a miss due to new paperwork required now that the UK has left the EU.
Organisers from Maison de la Normandie are hoping tensions between France and Jersey over fishing will quickly be resolved, stressing that "we are still neighbours and there are so many things we can do together."
One social media user added: "I hope we can welcome them back soon. Whatever is happening politically, it's nothing to do with them."