Yzerman, who was the Lightning's general manager from 2010-18, was introduced to Lalonde while on a scouting trip in Green Bay and later promoted the 49-year-old to Cooper's staff in Tampa Bay.
"Looking at his resume, getting references, background checks and speaking with Derek, I really understood his values as a man and as a coach," Yzerman said. "Where we're at as a team, it seemed like this was a great opportunity to bring in a coach with tremendous experience at various levels and part of a very good staff and a very good program."
Yzerman added he had to be patient for Lalonde to become available following this year's Stanley Cup Final between the Lightning and Colorado Avalanche.
"It was a little bit of a unique process this year in being able to speak with Derek and interview him," Yzerman said. "With him going all the way to Game 6 of the finals, we had to be very respectful to him doing his job and the Lightning organization."
For Lalonde, who admitted he didn't sleep much throughout the postseason, the interview process with the Red Wings "happened fast and happened intense."
"Already, I was probably working on four or five hours of sleep, and then Steve called," Lalonde said. "Then sleeping got less."