The 31-year-old Finland native also expressed his thanks to general manager Don Sweeney and coach Bruce Cassidy for their understanding of the situation.
"It goes to show how much people in this organization care about players and whoever the employee may be," said Rask. "It's a family. Like they said, they want to take care of me as a human being, not as a hockey player. I'm very grateful that that was the case."
Rask said he did not contemplate stepping away from the game entirely and does not expect the issue to be ongoing through the season.
"I think it was just a decision that I needed some clarity and time away and make things right so I could focus on both [family and hockey] at high levels," said Rask. "But resigning and quitting the job was not a question. In the big scheme of things, if you take two or three days and get back out there it's not gonna affect your career that much. But if you decide to quit, I don't think that's the right decision."
The former Vezina Trophy winner, who has played in eight games this season and is 4-4-0 with a 3.05 goals against average and .901 save percentage, said the personal matter did not have any influence on his on-ice performance.
"It hasn't affected my job," said Rask. "I'm not gonna make excuses that I've played good games or bad games because of my personal life. It was strictly just the time that I felt deep inside that I needed to take and do for my family's future. I'm happy I did."
Cassidy said following Tuesday's practice that Jaroslav Halak - who stepped in to play both games over the weekend, making 77 saves in two victories - will play Wednesday in Colorado. Beyond that, the B's bench boss was not certain of his goaltending schedule for the rest of the trip, but indicated that Rask would play one end of this weekend's back-to-back in Dallas and Arizona.
Halak is 6-1-2 this season with a .945 save percentage and 1.77 goals against average - both second in the NHL behind Nashville's Pekka Rinne.