Peter White was drafted 92nd overall in the 1989 Entry Draft by the Edmonton Oilers. In 1993-94, he made his NHL debut and tallied eight points in 26 games. In the shortened 1994-95 campaign, he played nine games and scored six points. The following season, White joined the Oilers full time before being traded on December 4, 1995 with a fourth-round draft pick to the Toronto Maple Leafs for Kent Manderville.
On August 19, 1996, White signed as a free agent with the Philadelphia Flyers. Two seasons later, he played his next three NHL games, during the 1998-99 campaign. In 1999-2000, he managed to get into 21 games with the Flyers. He then joined the team full time in the playoffs as the Flyers reached the Eastern Conference finals before losing to the Devils. In 2000-01, White played 77 games for the Flyers and scored 25 points as the team reached the 100-point plateau for the second straight season. On September 10, 2001, he signed as a free agent with the Chicago Blackhawks.
Growing up, Peter had played midget hockey for Lac St-Louis in Québec AAA. In 1986-87, he played his first season of Junior A hockey with the CJHL's Pembroke Lumber Kings and scored 54 points. In the playoffs, he helped his team win the championship. In 1987-88, he had an astounding 90 goals, 135 assists and 226 points in just 56 games. At year's end, he was named the league's most valuable player. In the post-season, he led the Lumber Kings to their second straight CJHL playoff championship.
In 1988-89, he enrolled at Michigan State University and scored 53 points as a CCHA freshman. In 1989-90, he improved to 22 goals and 62 points. The following season, he scored 38 points in 37 games. In 1991-92, his senior college season, he scored 26 goals and 75 points.
In 1992-93, White turned pro with the Cape Breton Oilers and scored 40 points as an AHL rookie. The subsequent year saw his output improve to 70 points in just 45 games. In 1994-95, his third professional season, Peter paced the AHL with 69 assists and 105 points to win the John B. Sollenberger Trophy (for most points).
In 1996-97, after signing with the Flyers' organization, White joined the Philadelphia Phantoms and paced the AHL with 44 goals and 105 points. He won his second John B. Sollenberger Trophy and was named an AHL Second Team All-Star. In 1997-98, he scored a league-best 78 assists and 105 points to win his third Sollenberger Trophy. He was only the third player in league history to win back-to-back scoring titles. In the playoffs, he scored 18 points in 20 games and led the Phantoms to a Calder Cup championship.
White went on to play five seasons with the Flyers organization before being acquired by the Chicago Blackhawks in the summer of 2001. Upon his arrival with the Blackhawks, White would split his time with the parent club and its AHL affiliate in Norfolk before being re-acquired by the Flyers during the 2002-03 season.