According to the airport, the changes should also mean "passengers can book with confidence for half-term and Christmas travel".
Heathrow’s passenger numbers remained at just under 40% of pre-pandemic levels in September, whilst EU rivals, according to the airport, enjoyed "stronger resurgence" over the summer period. North American traffic, however, is only at 25% of 2019 levels.
"We welcome the easing of testing requirements and red-list reduction, which will make international travel simpler, cheaper and less stressful for all passengers," a spokesperson said.
"The removal of PCR tests for vaccinated travellers in October and the opening up in the US should mean that passengers can book with confidence for half term and Christmas travel, and put us on track for recovery."
The figures come after Iata announced plans to reach net zero aviation carbon emissions by 2050.
Heathrow chief executive John Holland-Kaye said: "We should aim for 2019 to have been the peak year for fossil fuel use in global aviation.
"The UK government can show real leadership in decarbonising aviation at COP26, by setting a progressively increasing mandate and a plan to use contracts for difference to accelerate the transition to Sustainable Aviation Fuel in the UK, which will protect the benefits of flying for future generations."
