Born in Como, Lombardy, Bianchetti joined Inter from Corsico, a local team from the town of Corsico, the Province of Milan, Lombardy. He played for Inter in every ranks from U15, 16, 17 to the reserve in 2011. He also spent one season with Varese reserve in 2010–11 season as Inter did not had its own U18 team in Berretti League as wild card until 2011. Bianchetti won 2012 Campionato Nazionale Primavera and 2011–12 NextGen Series with the U19 team. Bianchetti also included in the first team occasionally but failed to play in competitive games. He was included in 2011–12 UEFA Champions League List B squad as no.44, a routine move for reserve players. In summer 2012 Lega Serie A changed the age limit of the reserve league to U19, and Inter's reserve transformed to a more age specific teams: U19 and U18. However, Bianchetti remained in Inter, just likes his predecessors Davide Faraoni and Samuele Longo who was one of the three age 20 "overage" player for Inter U19 reserve in 2010–11 season and 2011–12 season respectively. But on the other hand, Bianchetti was a real "overage" player as the regulation changed, thus Bianchetti did not had much chance for Inter U19 team in 2012–13 season, along with former captain Andrea Romanò, Daniel Bessa and Raffaele Di Gennaro, despite the latter two were forced to remain in Inter due to injury. Bianchetti did not play in 2012 Supercoppa Primavera, the conclusion of last season, where Inter also fielded overage players Alfred Duncan and Marko Livaja. Bianchetti remained in Inter's European squad, but promoted to List A, along with Romanò. However it was due to Inter did not had enough youth product to fill the 4 specific quota and the outcome was indifference.
Verona
As Bianchetti was lack of play time, despite he received call-up from Italy national under-21 football team, he did not debut yet. On 23 January 2013 he left for Hellas Verona F.C. of Serie B. Verona also signed former U20 player Michelangelo Albertazzi from Milan in summer 2012 but he failed to make a significant impact and did not receive any call-up since January due to injury. Bianchetti immediately entered the squad and made his competitive debut against Spezia as a last minute substitute for Emanuel Benito Rivas. He wore no.14 shirt previously owned by Simone Calvano. After the recovery of Albertazzi, Bianchetti was fall from the first priority on the bench, until regained the bench position since round 30, made 5 substitute appearances for Crespo, Raphael Martinho, Ceccarelli, Moras and Maietta respectively; Bianchetti made his only start on 22 April, due to the absent of Ceccarelli. In June 2013 Verona bought half of the registration rights of Bianchetti for €350,000 in 3-year contract. Bianchetti made his Serie A debut on 15 September 2013. In total he made 3 Serie A appearances before leaving for Spezia in January 2014. In June 2014 the co-ownership deal between Verona and Inter was renewed. On 29 January 2015, Spezia re-signed Bianchetti. On 25 June 2015, Inter announced the Co-Ownership resolved in their favor, and they are sending the player to Verona in a definitive deal on 1 July.
Cremonese
On 17 August 2019, Bianchetti signed Serie B club Cremonese for free.