The £105 million investment would create parkland around the enlarged airport, which would be four times the size of Hyde Park.
Heathrow is collaborating with the Colne Valley Regional Park Community Interest Company on developing this vision if the airport is chosen to expand.
Heathrow director of sustainability, Matt Gorman said: “Heathrow expansion is an opportunity to provide once in a generation improvements to the physical environment for the communities around the airport.
"Our new plan means this airport can be world-leading in environmental performance and guarantee that those most impacted by expansion get both the greatest benefits and fair treatment.”
Heathrow along with rival Gatwick is waiting for the government to make its choice over where to build a new runway. A decision had been expected before the end of last year but was delayed until this summer.
With no decision yet on where a new runway will be built, Heathrow is trying everything it can to persuade the government that it is the correct choice