Residents piled into two exhibition days, held at the Holiday Inn, in Brentford, and the Civic Centre, in Hounslow, last week.
The sessions were set up to provide people with the chance to learn more about the proposal, voice their concerns and meet members of the Heathrow team.
The days were part of a six-week consultation by the airport in light of the shortlisting of a new runway or a longer existing runway by the Davies Commission, which is investigating airport expansion in the south-east of England.
Nigel Milton, director of policy and public relations said: “I would like to say a big thank you to all those in the area that have taken part in Heathrow’s local consultation in the past few weeks.
“Whether you have shared your views online or attended one of the consultation events which have taken place around the airport, we are really grateful to you for taking the time to do this.
“We will take your opinions into account as we look to refine our north-west runway proposal for the consideration of the Airports Commission in May.
“Should a third runway be recommended by the Commission and approved by the Government, it is in everyone’s interest to work together to make sure our plans are developed in the best way possible.”
However the consultation has been met with some disapproval, particularly from councillor for Brentford, Ruth Cadbury, who said ‘this so-called consultation is neither honest nor transparent’.
She said: “Heathrow Airport is consulting not on whether residents want a third runway, but which of two sites north of the current airport should be chosen.
“Furthermore, they are not prepared to show where the landing paths would go.
“Both would mean extra noise for many thousands of homes.
"By my calculations the landing path would be centred over the heart of Heston, the Sky TV studios, Brentford Station, Griffin Park, Kew Bridge, the Russian Orthodox Church and the Hogarth estate.
“Heathrow airport need to be honest with the public, and with the Davies Commission, about the impact of their proposals.”
Heathrow has now hosted all 14 of its consultation events in local areas across west London.
People who did not get a chance to attend an event can still have their say on the issues most important to them through the online consultations, which will remain open until this Sunday.
Information from the public consultation will then be collated and the north-west runway proposal refined accordingly.
It will then be resubmitted in May.