Chiriaev had a lot of hype surrounding him going into the 2004 NBA draft,^[1] but was not drafted. Chiriaev played high school basketball at St. Thomas Aquinas in Oakville, Ontario, Canada.^[1] He signed a letter-of-intent with Iowa State University in the US but did not attend.^[1]

Chiriaev was a bench player for Dynamo Moscow in the 2004–05 and 2005–06 seasons. He played the 2006–07 season for MyGuide Amsterdam.