Following Ramsay's retirement, he was named the assistant coach for the
Buffalo Sabres in
1986–87 and served as interim head coach late in the year posting a 4–15–2 record. He also served as the team director of player personnel and assistant general manager with the Sabres. In
1992–93, Ramsay left the Sabres organization and joined the
Florida Panthers as assistant coach. He stayed there until
1995 before joining the
Ottawa Senators also as an assistant coach. In
1997–98, Ramsay joined the
Philadelphia Flyers. He was named interim head coach in February 2000 for
Roger Neilson who was being treated for cancer. Ramsay guided the team with a 16–8–1–0 record while claiming the
Atlantic Division with 105 points. He led the team all the way to the
Eastern Conference Finals before being eliminated by the eventual
Stanley Cup champions,
New Jersey Devils. He was hired permanently by the Flyers after Neilson was dismissed for health reasons at the end of the
1999–2000 NHL season and before the
2000–01 season before being fired after 28 games as the Flyers went 12–12–4–0 to start the season. He joined the
Tampa Bay Lightning in 2001 as an assistant coach. There, Ramsay won his first Stanley Cup in
2004 as the Lightning beat the
Calgary Flames in seven games. In
2006–07, he joined the
Boston Bruins as assistant coach. The Bruins made the playoffs every year and finished first in the
Eastern Conference in
2008–09. On June 24, 2010, he was named the head coach for the
Atlanta Thrashers. He was dismissed by the team's new ownership group, True North Sports and Entertainment following the Thrasher's relocation to
Winnipeg, Manitoba. Ramsay was appointed an assistant coach with the
Florida Panthers under head coach
Kevin Dineen following his dismissal from Atlanta. He was fired by the Panthers along with Dineen and assistant coach
Gord Murphy on November 8, 2013. Ramsay was hired by the Edmonton Oilers as assistant coach on June 10, 2014, to replace
Kelly Buchberger. He was let go by the Oilers on June 4, 2015, along with fellow assistant
Keith Acton. Ramsay joined the
Slovakia men's national ice hockey team as head coach on a two-year deal in 2017. He failed to lead Slovakia to the knockout stage of the
2019 IIHF World Championship held in their own country, but signed a one-year extension later that year. After guiding Slovakia to a second 9th-place finish in as many years at the 2020 World Championship, he extended his tenure to the end of the 2021/22 season. His emphasis on offensive play bore fruit when the team won the bronze medal at the
2022 Winter Olympics in Beijing, defeating Sweden 4–0. Ramseys contract was extended several times. However, he was unable to coach the team at the
2025 IIHF World Championship due to pneumonia. In July 2025, it was announced Ramsey will not continue as the head coach of Team Slovakia. A biography of Ramsay was published in
Slovakia in November 2022. Titled
Šťastný chlapec (Happy Boy), it was written by Peter Jánošík and Tomáš Kyselica, two members of the
Slovak Ice Hockey Federation's
public relations team. ==Awards and achievements==