In a newspaper article, the Cabinet minister said Britain can quit the bloc’s trading area and make its own trade deals after Brexit.
But he stopped short of making a firm promise that the Government WILL pursue a hard Brexit.
He also appeared to support a transitional deal that would keep the UK wedded to the EU until at least 2021.
During this time, Britain would be forced to respect all EU laws and the authority of the European Court of Justice (ECJ).
Environment Secretary Mr Gove, who headed the Vote Leave campaign, said: “Outside the EU we will take back control of our laws.
“After the end of the two-year transition period, the UK will be able to pass laws that strengthen our economy and enhance our environment, with full freedom to diverge from EU laws on the single market and customs union.
“We will have the freedom to negotiate and sign trade agreements with other countries around the world, and to regulate our own international trade policy without being fettered by EU law or the jurisdiction of the ECJ.”
The wording of his article leaves open the possibility the UK could remain bound to the single market and customs union.
It is likely to anger anti-EU campaigners who want cast-iron assurances that Theresa May is committed to delivering a hard Brexit.
A clause in the Phase 1 Brexit document, published yesterday, reveals the UK could “maintaining full alignment” with the EU’s trading regulations.
And Mr Gove’s article, published in the Sunday Telegraph, may be seen as a further hint the Government is edging towards a soft Brexit.
Former Ukip leader Nigel Farage raged against Mrs May’s deal, branding it a “humiliation” and accusing her of making concessions.
And the Leave.EU campaign group branded Mrs May “Theresa the Appeaser” and a “gutless establishment politician”.
In a furious Twitter rant, they added: “Our lily-livered politicians have sold the country down the river.
“We’ll all be paying money to the EU for years to come – not what we voted for.”
Mr Gove also said voters will be able to force changes to an EU withdrawal deal at the next election if they do not like it.
He said: “If the British people dislike the agreement that we have negotiated with the EU, the agreement will allow a future government to diverge.”
The comments came as it emerged the Cabinet is set to finally discuss the UK’s future relationship with the EU at a meeting on December 19.
Sources close to Mr Gove said the Sunday Telegraph article had been encouraged and signed-off on by Downing Street.