Khryapa was a member of the senior men's Russian national basketball team, winning the gold medal at the EuroBasket 2007. He also participated in the 2002 FIBA World Championship, the EuroBasket 2003, the EuroBasket 2005, and won a bronze medal at the EuroBasket 2011. He represented Russia in the 2008 Summer Olympics, as well as in the 2012 Summer Olympics, where Russia won another bronze medal. He was included on the Russian national team roster for the 2010 FIBA World Championship, but did not play due to an injury.