Claudia is one of Mexico's most renowned constitutional litigators, with many years of experience fighting arbitrary and illegal acts through the amparo process. She has been recognized as "best constitutional lawyer of the year" and frequently appears on lists of "most influential lawyers."

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She worked at renowned firms such as Aguinaco, Zaldívar y Aramburu, as well as Zaldívar Lelo de Larrea y Asociados. She served as a Constituent Assembly member in the legislature that drafted the Constitución Política de la Ciudad de México and is a professor of Constitutional Procedural Law at the Escuela Libre de Derecho. Her practice focuses on strategic litigation before the federal courts and the Suprema Corte de Justicia de la Nación.