When she was five, her father Francisco Garcia Estrada was elected governor of their home state of Zacatecas, representing the Institutional Revolutionary Party (PRI).

[1] Rather than following in his footsteps, García instead enrolled in the outlawed Mexican Communist Party (PCM) after witnessing the student revolts of 1968 and the Tlatelolco massacre.

On June 24, 2018, she renounced to PRD, after 29 years of advocacy, arguing "the great debate of ideas that constituted one of its strengths, has been totally replaced by agreements for the distribution of quotas".

[3][4] She had been endorsed by a former Governor of Zacatecas, José Guadalupe Cervantes Corona, who renounced his membership in PRI to support Garcia.

Earlier women governors were Griselda Álvarez (Colima, 1979–1985), Beatriz Paredes (Tlaxcala, 1987–1992), Dulce María Sauri (Yucatán, 1991–1994), Rosario Robles Berlanga (Distrito Federal, 1999–2000).