Reports circulated last week that Belichick wanted to trade his tight end with offers claimed to be on the table from both Tennessee Titans and San Francisco 49ers.
Gronkowski and the Pats have both refuted the report which suggested Tom Brady threatened to retire if the deal went through.
WHO DO THE PATRIOTS FACE 2018? FULL SCHEDULE ANNOUNCED
Gronkowski is rumoured to be after a new contract at New England with his current deal ending in 2019.
But despite the 29-year-old wanting to put pen to paper, there are no issues at the five-time Super Bowl winners according to owner Kraft.
“I guess when your team is good people are looking for things,” Kraft said.
“I’ll just tell you it’s a bunch of hogwash that I vetoed some trade. That was never in the works. It’s just completely made up.
“I think we have to be careful in society today that people can’t just come out and say things like this bit about us trading Gronk to the 49ers or Tennessee. There’s no basis to it and it gets a life of its own.
“I just want to go on record to make sure that you all understand that there’s no truth that. People shouldn’t be able to do that.”
Gronkowski skipped seven weeks of voluntary workouts, alongside quarterback Tom Brady, but was back for the mandatory minicamp.
He is now set to be a part of a Patriots side looking for their sixth Super Bowl, having last won it in 2016.
New England begin their 2018 season with a home clash against the Houston Texans on September 9.