Stoll redshirted his first year at Nebraska. In his second year, he played in 12 games as a freshman redshirt, catching 8 passes for 89 yards and scoring two touchdowns.[4] He started in all 12 games his sophomore year, and led all Cornhusker tight ends with 21 receptions for 245 yards and three touchdowns.[4] He would start every game in his junior year as well, with 25 catches for 234 yards.[4] Stoll battled injuries in his senior year, only playing in 7 games, starting one.[4] He chose to forgo remaining eligibility and instead declared for the 2021 NFL draft.[5][6]
Stoll went unselected in the draft and was subsequently signed by the Philadelphia Eagles.[9][10][11][12] He was reportedly given the largest contract of the Eagles' undrafted free agents.[13] Stoll was kept at roster cuts, becoming the only 2021 undrafted free agent to make the Eagles' roster.[14] He made his debut in week one, appearing on 12 offensive snaps during the 32–6 win over the Atlanta Falcons.[7] He was placed on the COVID list on January 3, 2022.[15] He was activated one week later on January 10, missing just one game where the Eagles did not play their starters as they had already clinched a playoff spot.[16]
After posting four receptions for 22 yards in his rookie year, Stoll started 11 games in 2022 and recorded 11 catches for 123 yards.[17] Stoll reached Super Bowl LVII. In the Super Bowl, Stoll recorded one tackle on special teams but the Eagles lost 38–35 to the Kansas City Chiefs.[18] He started 10 games in the 2023 season and posted five receptions for 38 yards, along with one tackle on special teams.[19]
New York Giants
On March 15, 2024, Stoll signed with the New York Giants.[20] He was released on August 27.[21]
Philadelphia Eagles (second stint)
On August 28, 2024, Stoll was signed to the Philadelphia Eagles practice squad.[22] He was promoted to the active roster on September 24.[23]
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