The airline, whose services from Heathrow are likely bear the brunt of this week's cancellations, said the measures would make it "easier to consolidate some of our quieter daily flights to multi-frequency destinations well in advance, and to protect more of our holiday flights".
Airport slots provide airlines with the authorisation to take off or land at a specified time on a specified day. In usual circumstances, the carriers risk losing the slots - and taking a hit to their business - if they cancel flights.
The Department for Transport (DfT) amnesty will give airlines a short window to hand back the slots in the summer season they are not confident they will be able to operate.
That earlier disruption prompted the government and the aviation regulator, the Civil Aviation Authority, to write to airlines telling them to ensure their summer timetables were "deliverable... based on the resources you and your contractors expect to have available".
It added: "We encourage airlines to take this opportunity to reconsider their summer schedules without penalty and inform passengers as early as possible of any changes."
He said: "Carriers must surrender their slots to other airlines if they are unable to fulfil them. This will help reduce cancellations and end the unsustainable practise of airlines flying near-empty planes to retain slots."
Thousands of aviation jobs were lost during the Covid pandemic and many businesses have struggled to recruit enough new staff in time to deal with resurgent demand for travel following the easing of rules.
Hundreds of British Airways workers at Heathrow Airport - mostly check-in staff - have voted to go on strike in July over pay, and unions are currently consulting engineers and call centre staff at Gatwick, Glasgow, Manchester and Newcastle on taking action.