The Bruins won the best-of-7 series, 4-1.
The 41-year-old forward returned to the Red Wings lineup for Game 5 after missing two games because of a back injury. He did not have a point in the Stanley Cup Playoff series.
"You take some time off here and just decompose everything, take everything in,” Alfredsson said after he was asked about next season. "There’s been a lot of new impressions obviously for me and my family, but overall we've had a fun, challenging year. We've all learned a lot, so I'll take some time and settle down, and start the process from there."