After each Cup victory, Parent proudly accepted the Conn Smythe but deflected praise to the Flyers.
"Individual awards have to be presented, but in my mind it's always the team," he said. "You can never achieve those awards unless you're surrounded by good players. When we won those two years, I was the goaltender, but we had defensemen, forwards, coaches and the beautiful people in Philly. Only then did we have a chance to win. You do your job individually but you have to work together."
Teamwork is a common theme for Parent in his motivational public speaking, alongside a message of taking risks and conquering fears.
"When there's risk involved, fear comes in," he said. "And when fear comes in, most people back away. That's when people miss out on great opportunities in life. My philosophy is, if I assume it's not going to work out, I take the first step anyway. If it doesn't work out, learn from it and move on.
"Surround yourself with a good team. If you remember this when you move on in life, then life will be good to you."
Parent devours hockey to this day, watching the Flyers at Wells Fargo Center and enjoying more games on TV than he can count.
No matter the result of the Stanley Cup Final between the San Jose Sharks and the Flyers' cross-state rivals, the Pittsburgh Penguins, Parent was certain that every fan - himself included - was in for a treat.
"The beauty about this year is that it's not predictable," he said. "You have no clue what's going to happen the next game. It's good hockey, very exciting. The speed of the game, the way guys skate, is just incredible.
"In the old days, it was up and down the ice. Today, my God, there are players all over the place. You have the puck on your blade for a second and somebody is on top of you. You constantly have to be in motion. But that's what makes it so exciting to watch."
Parent believes the team that pushes outside of its comfort zone will be crowned champion.
"The worst thing to do in sports is play it safe," he said. "Take your chances, and may luck be on your side to win the game. At least you tried. When you do, you become a better team. …
"Freddie (Shero) wrote on our blackboard, 'If we win tonight, we walk together forever.' That's a powerful statement. It's what we did in Philly, and it's what every Stanley Cup champion has done."