In 2017, Parkinson's freshman year at Stanford, he appeared in all 14 of Stanford's games, catching ten passes for 97 yards and four touchdowns.[7]
As a sophomore in 2018, Parkinson played in 13 games (nine starts), catching 29 passes for 485 yards and seven touchdowns.[8] On November 10, in a game versus Oregon State, Parkinson had six catches for 166 yards and four touchdowns, tying the Stanford record for most touchdowns in a single game for a tight end.[9][10] He earned All-Pac-12 Conference honorable mention.[11]
After his 2019 junior season where he had 48 catches for 589 yards and one touchdown, Parkinson announced that he would forgo his senior season and enter the 2020 NFL draft.[12]
In the 2020 NFL Draft, Parkinson was selected in the fourth round with the 133rd overall pick by the Seattle Seahawks.[15] He was placed on the active/non-football injury list at the start of training camp on August 3, 2020.[16] He was moved to the reserve/non-football injury list at the start of the regular season on September 5, 2020.[17] He was activated on October 31.[18] He appeared in six games as a rookie.[19]
On September 7, 2021, Parkinson was placed on injured reserve with a broken foot.[20] He returned to the roster on October 2, 2021.[21] He appeared in 14 games and started one in the 2021 season.[22]
Parkinson scored his first NFL touchdown in Week 1 of the 2022 season against the Denver Broncos.[23] He finished the 2022 season with 25 receptions for 322 receiving yards and two receiving touchdowns in 17 games and two starts.[24]
Los Angeles Rams (2024–present)
On March 14, 2024, Parkinson signed a three-year contract with the Los Angeles Rams worth up to $22.5 million.[25]