Gutiérrez attended Abraham Lincoln High School for two years, leading the Lancers to the Colorado state championship, earning tournament MVP honors after contributing 22.5 points and 6.0 rebounds on 58.8 percent field goal shooting over the course of the campaign. The next year, he averaged 20.3 points and 3.7 rebounds while shooting 61.4 percent from the floor. After two years, he moved to Findlay Prep where he averaged 13.4 points, 6.0 rebounds, 2.7 steals and 2.6 assists as a senior, earning the MVP award at the National Prep School Invitational in Rhode Island after helping his team to a runner-up finish.
After going undrafted in the 2012 NBA draft, Gutiérrez joined the Denver Nuggets for the 2012 NBA Summer League. In August 2012, he tried out for Partizan of Serbia but was subsequently not signed. On October 3, 2012, he joined Pioneros de Quintana Roo of Mexico for the rest of the 2012 LNBP season. He played his tenth and final game for Pioneros on November 3, 2012, recording 9 points, 4 assists, 2 rebounds, 2 steals and 1 block.
Canton Charge (2012–2014)
On November 2, 2012, he was selected by the Canton Charge in the second round of the 2012 NBA D-League draft. In July 2013, Gutiérrez joined the Sacramento Kings for the 2013 NBA Summer League. On September 30, 2013, he signed with the Brooklyn Nets. However, he was later waived by the Nets on October 26, 2013. In November 2013, he was re-acquired by the Canton Charge.
Brooklyn Nets (2014)
On March 6, 2014, he signed a 10-day contract with the Brooklyn Nets. On March 9, 2014, he made his NBA debut in a 104-89 win over the Sacramento Kings, making him the fourth Mexican to play in the NBA after Horacio Llamas, Eduardo Nájera, and Gustavo Ayón. In just under 5 minutes of playing time, he recorded 1 point and 1 steal. On March 17, 2014, he signed a second 10-day contract with the Nets. On March 21, 2014, he recorded an NBA career high 10 points, along with 3 rebounds, 1 assist and 1 block, in 114-98 victory over the Boston Celtics. On March 28, 2014, he signed a multi-year deal with the Nets. In July 2014, Gutiérrez joined the Brooklyn Nets for the 2014 NBA Summer League. On December 11, 2014, Gutiérrez was traded, along with Andrei Kirilenko, the Nets' second round draft pick in 2020 and the right to swap second round picks in 2018, to the Philadelphia 76ers in exchange for Brandon Davies. The next day, he was waived by the 76ers.
On December 23, 2014, Gutiérrez was reacquired by the Canton Charge. On January 28, 2015, Gutiérrez signed a 10-day contract with the Milwaukee Bucks, reuniting with his former Brooklyn Nets coach, Jason Kidd. On February 7, he signed a second 10-day contract with the Bucks. He parted ways with the Bucks on February 17 after the team did not sign him for the rest of the season. On March 4, he was reacquired by Canton. On April 7, he returned to the Bucks, signing a multi-year deal with the team. On October 21, 2015, he was waived by the Bucks. On December 10, 2015, Gutiérrez was reacquired by the Canton Charge. The next day, he made his 2015–16 debut in a 110–107 win over the Iowa Energy, recording nine points, four rebounds, five assists and four steals in 29 minutes.
On February 20, 2016, Gutiérrez signed a 10-day contract with the Charlotte Hornets. Four days later, he made his debut for the Hornets in a 114–103 loss to the Cleveland Cavaliers, recording four points, two assists and one steal in four minutes off the bench. He went on to sign a second 10-day contract with the Hornets on March 1, and then a rest-of-season contract on March 11. On September 26, 2016, Gutiérrez signed with the Brooklyn Nets, returning to the franchise for a second stint. However, he was later waived by the Nets on October 18 after appearing in three preseason games.
On August 28, 2018, Gutiérrez signed a one-year deal with Delteco GBC of the Liga ACB. On January 29, 2019, the Basque club parted ways with Gutiérrez.
On November 4, 2019, Hamburg Towers announced that they had signed with Gutiérrez. He averaged 14.2 points, 3.8 rebounds and 5.9 assists per game with Hamburg.
Göttingen (2020–present)
On August 1, 2020, he has signed with BG Göttingen of the Basketball Bundesliga.
The son of Fernando Gutiérrez and Bertha Cárdenas, he has two brothers, Fernando and Julián. He includes drawing among his hobbies and majored in interdisciplinary studies.