Clarkson's contract was not renewed, with director-general Tony Hall saying at the time "a line has been crossed" and "there cannot be one rule for one and one rule for another".
Earlier this month North Yorkshire Police said that following an investigation Clarkson would face no further police action over his attack on the producer at a hotel.
Clarkson pulled out of his planned appearance hosting BBC satirical show Have I Got News For You, which was due to be filmed next week, and aired a day later.
It would have marked his first BBC appearance since the fracas which led to his departure.