García Mancheño earned her bachelor's degree in 2001 from the Faculty of Sciences of the Autonomous University of Madrid in Madrid, Spain. She continued at the Autonomous University of Madrid to earn her Ph.D. in 2005 under the mentorship of Juan Carlos Carretero. She continued her training in organic chemistry as a postdoctoral researcher in the lab of Carsten Bolm at RWTH Aachen University in Aachen, Germany. She completed her habilitation at University of Münster mentored by Frank Glorius, and then worked in a temporary professorship at the University of Göttingen in the city of Göttingen, Germany before acquiring her first permanent faculty position. She was an assistant professor of organic chemistry at the University of Regensburg in Bavaria, Germany from 2013-2017. In 2017, García Mancheño became a professor of organic chemistry at the University of Münster, in Münster, North Rhine-Westphalia, Germany, where she also completed her habilitation.