As a player, Pashutin was a long-time member of the senior Russian national basketball team.

After the 2003–04 season ended, Pashutin became the head coach of the Under-20 Russian National Team.

Pashutin then moved on to UNICS Kazan, where he won the European-wide secondary level EuroCup championship, in the 2010–11 season.

Despite Pashutin improving the club's performance, UNICS endured a failed season in all competitions – with a disappointing finish in the EuroLeague, where the team was eliminated after the regular season, a loss in the semifinals of the EuroCup, and a quarterfinals exit in the VTB League.

In the 2015–16 season, UNICS was one of the favorites to win the EuroCup, but had another a failure and were eliminated in the first round of the playoffs.

In the 2016–17 season, UNICS, while playing in the new format of the EuroLeague, finished in a disastrous 15th place (second to last), and were eliminated in the quarterfinals of the VTB League.

On June 7, 2018, Pashutin signed with Cantù of the Italian top level Lega Basket Serie A (LBA).

[2] He left Cantù in January, after a 7–10 start in the LBA, and returned to Avtodor Saratov to once again become that club's head coach.