This gave him 138th place in the European Tour rankings for 2015, earning him conditional status for 2016.

On August 21, 2016, Peterson won the D+D Real Czech Masters for his first European Tour victory.

In January 2018, Peterson won the Myanmar Open, co-sanctioned by the Asian Tour and the Japan Golf Tour, by two strokes, which moved him up to 127th in the Official World Golf Ranking.

In September 2024, Peterson won his first event on the Korn Ferry Tour at the Simmons Bank Open, where he beat Matt Atkins by one stroke.

This victory gave him enough points to secure his PGA Tour card for the 2025 season.