The club say the goalkeeper has suffered no injuries.
Images after the incident show Romero’s £170,000 Lamborghini smashed up and under the roadside barrier, facing towards trees off the A6144 road.
Romero, 32, has acted as United’s back-up goalkeeper in the Premier League this season to David de Gea and is yet to feature in the top flight.
But he has played in four of United’s Europa League matches, plus three times in the League Cup and in each of their FA Cup third-round clashes against Wolves.
Romero started his first campaign at United with three clean sheets in the Premier League amid David de Gea’s on-off move to Real Madrid.
But when the Spaniard failed to leave the club, he re-established himself as United’s No.1.
Romero played a key role in Manchester United’s Europa League triumph in 2017 under Jose Mourinho, keeping his spot as the club’s first-choice cup keeper throughout the competition.
He kept a clean sheet in the final against Ajax as United ran out 2-0 winners.