(CNN) Ohio Gov. John Kasich suggested he may run against President Donald Trump in the 2020 Republican primary after Trump said he hoped Kasich would do so.

"Be careful what you wish for," a spokesperson for Kasich, John Weaver, said in a statement in response to the President's comments.

Kasich ran for president in 2016 and lost to Trump in the primary. When the governor dropped out of the presidential race, he did not endorse Trump. Kasich has remained an outspoken critic of the President.

Fox News' Harris Faulkner said in an interview with Trump that aired Thursday: "I'm going to bring up John Kasich and I'm going to bring up Arizona Sen. Jeff Flake because they say they may run against you in 2020 -- "

"I hope so," Trump responded before Faulkner finished her sentence.

Read More