Orozco-Estrada first guest-conducted the Vienna Symphony Orchestra in 2006. In March 2018, the Vienna Symphony announced his appointment as its next chief conductor, effective with the 2021-2022 season, with an initial contract of 5 years. He is scheduled to take the title of chief conductor designate in the 2020-2021 season. Orozco-Estrada debuted with the Houston Symphony Orchestra in October 2012, an appearance that led to a second engagement with the orchestra, for a private rehearsal. In January 2013, the Houston Symphony appointed Orozco-Estrada as its next music director, as of the 2014-2015 season. Before taking up the Houston post, he and the orchestra recorded Dvořák's Seventh Symphony. His current contract with the Houston Symphony is until the 2021-2022 season. Orozco-Estrada has recorded commercially with the Houston Symphony Orchestra and the Frankfurt Radio Symphony Orchestra for Pentatone. Orozco-Estrada and his wife Julia, an Austrian veterinarian, live in Vienna with their daughter Laura.