The Richmond Park MP and ex-London mayoral candidate has long campaigned against Heathrow expansion.
On Twitter, he said the government`s decision was "catastrophic".
"I will be meeting my constituents later today before making a statement," he added.
A letter sent to local party members by the local association was published by the Huffington Post.
Mr Goldsmith held his south-west London seat in 2015 with a 23,015 majority. The Liberal Democrats finished second.
He recently predicted that whatever the government decided, a new Heathrow runway was "not going to happen".
More about:
-1780923278.jpg&h=190&w=280&zc=1&q=100)
