Born in the United States to a Polish mother and an American father, he was raised in England, where he played youth basketball.

Sochan moved to the United States to attend La Lumiere School, then started his professional career in Germany with OrangeAcademy of the ProB in 2020.

He played college basketball for the Baylor Bears during the 2021–22 season and was selected ninth overall by the Spurs in the 2022 NBA draft.

[4] His great-grandfather Zygmunt Sochan was an association football player for Warszawianka, making 94 appearances in the Ekstraklasa (Polish top division) before World War II, when he joined the Polish resistance against the German occupiers and was a Stutthof concentration camp survivor.

[10] His team later earned a #1 seed in the 2022 NCAA Division I men's basketball tournament, but lost in the second round.

[17] For the 2023–24 NBA season, Sochan was named as the Spurs starting point guard, a position previously held by teammate Tre Jones.

[18] Dubbed as an "experiment", this decision to play him as a point forward for the first time was made due to Sochan displaying playmaking abilities the prior season.

[23] Sochan has gained attention for his unorthodox technique of shooting free throws with one hand, an approach he began using in December 2022 after Spurs head coach Gregg Popovich suggested it as an experiment to increase Sochan's free throw percentage.

He told police he lost control of his vehicle and hit a guardrail on the ramp connecting two highways.