[2] In 2020, Arrighetti transferred to Navarro College, where he made four starts, pitching to a 2–2 win-loss record and 4.26 earned run average (ERA) with 30 strikeouts.
[5][6] He made his professional debut that same year with the Rookie-level Florida Complex League Astros before being promoted to the Single-A Fayetteville Woodpeckers.
Arrighetti split the 2023 season between the Double-A Corpus Christi Hooks and the Triple-A Sugar Land Space Cowboys.
[15][16] Those performances made Arrighetti the first rookie in American League (AL) history to strike out 12 batters each in consecutive starts.
[19] In a contest versus the San Diego Padres on September 16, 2024, Arrighetti retired prospective 3-time batting champion Luis Arráez on a strikeout for the first time in 141 plate appearances, the longest such streak in the major leagues since Juan Pierre resisted 147 in 2004.