In 2009 and 2010, Viscosi attended the University of Rio Grande played his freshman and sophomore seasons with the Rio Grande Red Storm.[2] He was named to the All-Mid-South Conference First Team and was a four-time Player of the Week selection.[3]
In July 2015, he signed with Southport in National League.[12]
Viscosi then trialled with Finnish Ykkönen club Turun Palloseura, where he had the opportunity to join as the backup keeper,[13] however, he instead opted to sign with Swedish club Oskarshamns AIK in search of a starting opportunity.[14]
In January 2017, Viscosi signed with Finnish club TPS.[15] After playing the season as the first choice goalkeeper, he indicated that he would wish to stay into the 2018 season.[16] Upon completion of the 2017 season, Viscosi would sign a one-year extension for the 2018 season after starting every match, helping TPS earn promotion back to the Veikkausliiga in 2018, and being named the Ykkönen's best goalkeeper.[17][18]
In January 2019, he signed with USL Championship club San Antonio FC.[5] He had originally been set to play in Sweden, however, his contract fell through as the club was experiencing financial difficulties, prompting his move to San Antonio, facilitated through his relationship with Frank Barone, the club's Athletic Development Coach.[19]
In December 2019, he signed a one-year contract with Swedish club IK Sirius for the 2020 season.[20]
In January 2021, Viscosi would sign with Ettan club Dalkurd on a multi-year contract.[21] In December 2022, he departed the club, despite one year remaining on his contract.[22]
In 2023, Viscosi returned to Finland and signed a one-year deal with VPS.[23][24]
In February 2024, Viscosi signed with Canadian Premier League club Valour FC.[25] He was named the CPL Goalkeeper of the Month for September 2024.[26] After the 2024 season, the club picked up his option for the 2025 season.[27][28]