Dominic Raab said Singapore had agreed to be the transit hub where people stuck in countries like Australia, New Zealand and Peru could fly through on their way back to the UK.
He also assured travellers unable to afford the cost of a plane ticket back they could get an emergency loan to cover the cost.
But some stranded travellers have painted a different picture, telling Sky News there is little help embassies abroad are giving them.
MPs including Tory backbenchers turned up the heat on the Foreign Office for its record helping Britons stuck abroad get home as countries across the world try to contain the spread of COVID-19.
Former immigration minister Caroline Nokes complained of an "MPs' helpline that rings with no answer, emails acknowledged but not replied to, embassies that are closed and staff flown home days ago and doors shut to our travellers".
She claimed airlines are cancelling flights or charging tens of thousands of pounds for a ticket, and countries are banning layovers, preventing Britons from getting home.
"He knows the situation's dire, but he knew that last week," was the barb aimed at the foreign secretary, as Ms Nokes added: "The vision of British citizens sleeping rough on the streets of Caracas [in Venezuela] is not a good one."
Mr Raab tried to assuage travellers' fears by saying a special chartered flight to take people stranded in Peru home would fly back to the UK on Tuesday, with up to 200 seats on board.
The government has lobbied New Zealand and Australia to keep some flights open and to re-open other routes despite the coronavirus pandemic, he added.
Mr Raab advised: "If people are in need of urgent assistance they should call our embassies and high commissioners.
"Where people are in real need, our consular teams will work with them to consider their options - as a last resort, we offer an emergency loan."
Labour MP Thangam Debbonaire challenged Mr Raab to explain what support is available for people who have run out of money abroad.
He responded that the Foreign Office "can't, given the scale, provide direct subsidy or grants" to people with no cash left.
Elaine Morley, a nurse stranded in Cambodia, told Sky News it's been "impossible to get home" as all flights home she's booked have been cancelled, leaving her with no money.
"We're stuck in Cambodia with no help, nobody wants to know.
"Our travel agents don't want to know, the British embassy aren't interested - they can't help us financially, they can't help us with accommodation, they can't help with a flight.
"We're actually stuck here, we don't know who to turn to or what to do next. We just want to go home."
Caroline Hutchings, who's been trying to get home from the Philippines for a week, said all three flights she booked on to have also been cancelled.
She told Sky News she was getting "old" and "conflicting" travel advice from the British embassy there.
"Everything's just a little bit old - which just isn't helpful. You lose trust," said Ms Hutchings.
Britons stuck onboard a cruise ship docked in Lisbon, Portugal, will also be flown home on Tuesday, the country's interior minister said.
The MSC Fantasia, which sailed from Brazil, had one Portuguese traveller who tested positive for coronavirus.