It comes after an exchange, on Wednesday, in which Mr Clarkson presented two views when asked about that day's strike over pensions by public sector workers:
"I think they have been fantastic. Absolutely. London today has just been empty. Everybody stayed at home, you can whizz about, restaurants are empty," he said
"It's also like being back in the 70s. It makes me feel at home somehow," said the Top Gear presenter, before adding: "But we have to balance this though, because this is the BBC."
Mr Clarkson went on: "Frankly, I'd have them all shot. I would take them outside and execute them in front of their families. I mean, how dare they go on strike when they have these gilt-edged pensions that are going to be guaranteed while the rest of us have to work for a living?"
When the presenters pointed out that these were Mr Clarkson's personal views, he said: "They're not. I've just given two views for you."