Passengers who were caught up in the recent travel chaos have been offered an apology by the airport.
After the industry struggled to cope with soaring demand, airlines were told to make sure their schedules were delivered.
The changes submitted by airlines will be reviewed.
He said that the airport would ask for more action if necessary.
Thousands of passengers have been affected by disruption at UK airports and flight cancellation in recent months as the industry struggles to recruit staff.
The UK's largest airport apologized to passengers affected by long queue times, delays for passengers with reduced mobility, bags not travelling with passengers or arriving late.
It said that most passengers had a good level of service despite the challenges.
The team is rising to the challenge of growth and giving excellent service to the vast majority of passengers.
We've already seen times when demand exceeds the capacity of the airport.
We will review the schedule changes that airlines have submitted in response to the government's requirement to minimize disruption for passengers this summer and will ask them to take further action.
In June, nearly six million people used the airport.