[2] Ramirez's parents were Mexican immigrants who came to the United States under the bracero guest worker program.

[7][8] In 2019, Ramirez dismissed a wrongful death lawsuit brought by the family of Botham Jean against the city of Dallas.

Jean was killed when off-duty Dallas Police Department officer Amber Guyger claimed she mistook him for an intruder after thinking she'd entered her own apartment, and fatally shot him.

Ramirez found that the family did not show a pattern of police racism or other wrongdoing that would implicate the city.

[11][12][13] On March 15, 2016, President Barack Obama nominated Ramirez to serve as a United States district judge for the Northern District of Texas, to the seat vacated by Judge Terry R. Means, who assumed senior status on July 3, 2013.

President Biden nominated Ramirez to the seat vacated by Judge Gregg Costa, who resigned on August 31, 2022.