"I talk to politicians from every party in order to make sure that we get the right approach," Gove told the BBC News broadcaster when asked about the reports.
Gove noted that he had been on the Brexit select committee that was established within the previous parliament and which included members of different political parties.
The environment secretary also objected to the term "hard Brexit," which to him seemed to be "invented by people who want to make our decision to free ourselves from the European Union seem like some sort of punishment."
Gove was appointed Secretary of State for Environment, Food and Rural Affairs following the nation's snap general election held last Thursday. The vote resulted in a hung parliament, with May's Conservatives securing more votes than any other party, but still eight short of the required majority.