Sir Cordell Firebrace, 3rd Baronet (20 February 1712 – 28 March 1759), of Long Melford, Suffolk, was a British landowner and Tory politician who sat in the House of Commons from 1735 to 1759.

Firebrace was the only son of Sir Charles Firebrace, 2nd Baronet, of Stoke Golding, Leicestershire and his wife Margaret Cordell, daughter of Sir John Cordell, 2nd Baronet, MP, of Long Melford, Suffolk.

In Egmont's lists of people who would receive office on the accession of Frederick, Firebrace was marked down to become a lord of the Admiralty.

[4] In 1740, in his capacity as local magistrate in Long Melford, he oversaw the interview of Edward Humfrey in connection to the murder of Charles John Frew.

No speech by him is recorded after 1754, but he was included in Newcastle's list of 1757 of 'speakers and efficient men' and was placed in Pitt's group.