Afanasenkov had spent his entire career in Tampa after being drafted by the Lightning in 1998. He was also part of the team's Stanley Cup win in 2004.
The 26-year-old Russian has appeared in 33 games this season, scoring three goals and six points while registering a minus-6 rating.
Philadelphia is currently the league's worst team. The Flyers have just nine wins and 22 points heading into play on Saturday.