As a freshman, he averaged 15.3 points, 10.0 rebounds, 2.3 assists, and 2.6 steals per game and led the team to a 25–7 record and the California Interscholastic Federation (CIF) semifinals.

[8] Jaquez averaged 31.7 points, 11.7 rebounds, 3.7 assists, and 2.1 steals per game as a senior and helped the team finish 25–4 and win its first Coastal Canyon League title.

[9] Jaquez was recruited to the University of California, Los Angeles, by then-Bruins' coach Steve Alford,[12] who offered him a scholarship at the end of his junior year.

[18] In UCLA's First Four play-in game of the 2021 NCAA tournament, he led the Bruins in scoring with 27 points in a 86–80 overtime win against Michigan State.

[22] In the following game, he scored 27 points in the regular-season finale against USC, helping UCLA end its five-game losing streak in their crosstown rivalry with the Trojans.

Along with needing surgery in April to remove bone spurs from his right ankle, he decided against declaring for the NBA draft,[13] and returned to UCLA for his senior year.

[35] That month, he scored late baskets in multiple games to help lead the team to victories, including seven points in 3+1⁄2 minutes as the Bruins secured a win over Utah.

[38] Losing two starters, Adem Bona and Jaylen Clark, due to injuries, UCLA suffered a 79–76 loss to Gonzaga in Sweet Sixteen.

[21] Jaquez was voted the Pac-12 Player of the Year, becoming the first Bruin to win since Kevin Love in 2008 and the first UCLA senior to capture the award since Ed O'Bannon in 1995.

[47] On October 28, 2023, Jaquez made his first career start when he and second-year player Nikola Jović entered the lineup against the Minnesota Timberwolves, filling in for the absence of veterans Jimmy Butler and Kevin Love.

[48][49] Against the Memphis Grizzlies on November 8, Jaquez played the entire fourth quarter and made a game-clinching 3-pointer to extend Miami's lead from three to six with 18.4 seconds left in a 108–102 win.

[50] In the following game with Butler and Tyler Herro unavailable, he made his third start of the season, finishing with a then career high of 20 points in 39 minutes in a 117–109 win over the Atlanta Hawks.

[53] On January 4, Jaquez earned his second consecutive Eastern Conference Rookie of the Month for games played in December.

Jaquez played for the Mexican national team as a Mexican-American dual citizen in the 2019 Pan American Games in Lima, Peru.

[3][10] Source:[55] Jaquez's sister Gabriela, who shared MVP honors at the 2022 McDonald's All-American Girls Game,[7] committed to joining the UCLA women's basketball team as part of its 2022–23 freshman class.

In 2024, Gabriela joined the UCLA Bruins softball team to provide depth as they made a run in the 2024 Women's College World Series.