After graduating from law school, Arias-Marxuach served as a law clerk to Associate Justice Antonio Negrón García of the Supreme Court of Puerto Rico. After obtaining his Master of Laws, he became an associate at Fiddler Gonzalez & Rodriguez, where he worked until 1995. In 1995, he joined McConnell Valdés, where he maintained a diverse commercial litigation practice that focused on contracts, products liability, personal injury, antitrust and maritime disputes and accumulated substantial jury trial and appellate experience in complex matters. He was a partner and Vice-Chair of the Litigation Practice Group at the firm prior to his appointment to the federal bench.
On January 3, 2019, his nomination was returned to the President under Rule XXXI, Paragraph 6 of the United States Senate. On January 23, 2019 President Trump announced his intent to renominate Arias-Marxuach for a federal judgeship.[8] His nomination was sent to the Senate later that day.[9] On February 7, 2019, his nomination was reported out of committee by a voice vote.[10] On May 1, 2019, the Senate invoked cloture on his nomination by a 94–5 vote.[11] On May 2, 2019, his nomination was confirmed by a 95–3 vote.[12] He received his judicial commission on May 13, 2019.[13] He was sworn into office by Chief Judge Gustavo Gelpí on May 16, 2019.[14] He became chief judge on October 19, 2021, after Gelpí was elevated to the United States Court of Appeals for the First Circuit.[15]
Failed nomination to court of appeals
On November 13, 2020, President Trump announced his intent to nominate Arias-Marxuach to a seat on the United States Court of Appeals for the First Circuit.[16] On November 30, 2020, his nomination was sent to the Senate. President Trump nominated Arias-Marxuach to the seat vacated by Judge Juan R. Torruella, who died on October 26, 2020.[17] The nomination was considered controversial, as Trump had already lost the 2020 presidential election to Joe Biden when he announced it, although Arias-Marxuach himself was not controversial. Although he received a hearing before the Senate Judiciary Committee on December 16, 2020, no further action on his nomination was taken due to Republican Judiciary Committee chairman Lindsey Graham's opposition to processing the nomination out of committee during the lame-duck session of the 116th Congress.[18][19] On December 16, 2020 a hearing on his nomination was held before the Senate Judiciary Committee.[20] On January 3, 2021, his nomination was returned to the President under Rule XXXI, Paragraph 6 of the United States Senate.[21] Later that same day, his renomination was sent to the Senate.[22]
On February 4, 2021, his nomination was formally withdrawn by President Joe Biden.[23] On May 12, 2021, President Biden nominated Gustavo Gelpí, the Chief Judge of the United States District Court for the District of Puerto Rico, to fill that seat, with his nomination being later confirmed by the Senate.[24][25][26]