Muskett began his college football career with Monmouth, joining the team during the 2020–21COVID-19 season.[3] As a true freshman he started all four of the team's games.[4] He made his debut against Charleston Southern as he went eighteen of 26 for 297 yards and two touchdowns.[5] Against Big South opponents Gardner–Webb and No. 7 Kennesaw State he threw two touchdowns against the Bulldogs and a career-high four touchdowns against the Owls. He earned two Big South Freshman of the Week after the games against Charleston Southern and Kennesaw State.[6][7] After the team's final regular season game against Robert Morris was canceled they earned a bid ranked No. 10 to play against No. 4 Sam Houston in the playoffs.[8] After not throwing a single interception all season he threw two in a failed comeback effort to the Bearkats. He finished the game with a tied career-high 297 passing yards alongside a single touchdown pass.[9] Following the season he earned First Team All-Big South,[10] 2020–21 Big South Offensive Freshman of the Year,[10] and HERO Sports Freshman All-America honoree honors.[11][12] He also finished fifth in voting for the Jerry Rice Award.[13]
In 2021, Muskett's sophomore season, he started all eleven games for the Hawks. He led the team to a 7–4 while going 6–1 in conference play.[14] After losing the season-opener against FBS opponent Middle Tennessee[15] he led the team past Tim DeMorat and Fordham while going thirty of 44 for 268 yards, one touchdown, and one interception.[16][17] After beating Charleston Southern[18] 41–14 they'd lose to Holy Cross 15–45. On homecoming night against Gardner–Webb he went eighteen of 31 for 289 yards and four touchdowns in the team's 54–17 win.[19] After losing a close 28–31 game against No. 24 Princeton he led the team to four-straight wins. In that span he threw for thirteen touchdowns including four against North Alabama and Robert Morris.[1] In the four game stretch the team outscored opponents 158 to 73. Muskett and the Hawks could not beat Big South champion and No. 5 Kennesaw State in the season-finale as they lost 17–49.[20][21] Following the season he earned his second-straight First Team All-Big South selection and also made HERO sports All-American Sophomore team.[22][23]
In 2022, he started the first eight games for the team before missing the final three games with a knee injury.[24] The team transitioned into the Colonial Athletic Association (CAA) for the 2022 season and he was named as a CAA Preseason All-Conference selection.[25] In the team's CAA debut in conference play the Hawks fell to New Hampshire 21–31. Against Fordham he threw for a season-high 323 yards and two touchdowns despite the 49–52 loss. Following a 45–6 win over Georgetown he led the Hawks past No. 10 Villanova 49–42.[26][27] In the upset win he threw for 161 yards on eleven of seventeen passing and an additional three touchdown passes.[28] Against Lehigh he threw for three touchdown passes while winning 35–7. On the ground he also ran for 56 yards and another touchdown. In a game that went into seventh-overtime against No. 19 Rhode Island he threw for 249 yards and three touchdowns.[29][30] He would not play the final three games against Towson,[31] No. 16 Delaware and Stony Brook. Following the season he announced his intent to transfer from the team.[32]
