Parigini began playing football with Pancalieri, an amateur club on the outskirts of Turin. Spotted by Silvano Benedetti, he entered the Torinoyouth system at age 10 after a three-day trial with the club. He had a strong showing in the Allievi Nazionali and the Primavera under the youth coach Moreno Longo. In 2013, at age 17, he was loaned to Juve Stabia in Serie B in his first season among the professionals. He disputed 14 games, but did not score.
The following year he returned to Serie B on loan to newly promoted Perugia. He made his debut with the Umbrians on 23 August 2014 in the second round of Coppa Italia against Spezia, scoring the winning goal in extra time. He made his debut for the club in the league on 30 August against Bologna, where he entered as a substitute and provided the assist on the winning goal for Diego Falcinelli. On 8 November he scored his first goal in the league against Virtus Entella. He concluded his first season with Perugia with 33 appearances and five goals, achieving the promotional playoffs where Perugia was eliminated by Pescara. In the summer of 2015 the loan was renewed and Parigini returned to Umbria. In his second season with Perugia he suffered a muscular tear, which sidelined him for four months, concluding the season with four goals in 19 league games.
In the summer of 2016, Parigini was loaned to Serie A club Chievo. He made his debut on 13 September 2016, entering as a substitute in a home victory against Virtus Entella in the third round of Coppa Italia. He made his Serie A debut eight days later, at age 20, in a 2–0 win at home against Inter Milan. In January 2017, he moved on loan to Bari in Serie B. He scored his first goal for the Galetti on 27 February 2017 in a 2–0 win over Brescia.
On 31 August 2017, Parigini joined Benevento on loan until June 2018. The deal included an optional buyout clause, which would become obligatory in case the club avoided relegation in the 2017–18 Serie A season.
Return to Torino
In the summer of 2018, he returned to Torino and placed in the senior squad. On 16 September, he made his first appearance for Torino, entering as a substitute for Álex Berenguer in a 1–1 draw away against Udinese.
Genoa
Loan to Cremonese
On 31 January 2020 he transferred to Genoa and was immediately loaned to Cremonese.
A player with strong offensive skills as well as with physical strength, technique, acceleration and explosiveness. He was a striker until Roberto Fogli, his coach in the "Giovanissimi Nazionali" of Torino, decided to turn him into a winger. Mainly used on the right wing, he can be played with the same effect on the left wing due to his versatility; he has played at good levels even as an attacking midfielder or pure striker. Early in his career he was likened to Alessio Cerci for his movement on the pitch, particularly with regard to speed and his ability to get past his opponent.
Career statistics
Club
Honours
International
Italy
UEFA European Under-17 Championship: Runner-up 2013