Rojo published the picture on Sunday (AEDT) with a quote from Escobar underneath, which has now been deleted from his account.
"Only those who went hungry with me and stood by me when I went through a bad time at some point in life will eat at my table," the quote read.
The post sparked fury among some people on the social media website.
Escobar was head of the famous Medellin Cartel which was responsible for thousands of deaths in Colombia in the 1980s and 1990s.
His bloody cocaine trafficking campaign came to an end in 1993 when he was shot dead by Colombian Police.
Manchester United refused to comment on the matter.