He served as a Justice of the Supreme Court of Mexico from 10 March 2015 to 8 October 2019, when the Mexican Senate approved his resignation following a now closed investigation by the country's Financial Intelligence Unit.

[5] On 23 February 2010, Medina-Mora presented his credentials to Queen Elizabeth II at Buckingham Palace accrediting him as Mexico's representative to the United Kingdom.

[6] Medina-Mora was the Mexico's Ambassador in the United States presenting his credentials to President Barack Obama on 14 January 2013.

[9] Following a broadcast of the television programme Top Gear on 30 January 2011, during which the presenters made several derogatory slurs depicting a stereotypical portrayal of Mexican culture and people, Medina-Mora wrote to the BBC about comments made by Richard Hammond, Jeremy Clarkson and James May about himself and Mexico, demanding a public apology from the BBC.

[10] Additionally, his credentials were heavily criticized by Mexican scholars and Twitter campaigns appeared with the hashtag "#NoHaganMinistroaMedinaMora" ("Do not make Medina Mora Minister").