Arizona also received a sixth-round pick in the 2023 NHL Draft.
Voracek, a 33-year-old forward, has not played since Nov. 4 because of a concussion and previously said his hockey career could be over.
"It's going to be a long one, but it is what it is," Voracek told the Blue Jackets website Dec. 5. "I tried to play through everything over my career, and I didn't miss many games. But with my head injuries in the past, it's pretty serious to take a look at and just make sure I consider all my options for the future, and then we'll see where it's going to take me."
Voracek, who has six points (one goal, five assists) in 11 games this season, has one season remaining on an eight-year contract he signed with the Philadelphia Flyers in July 2015.
RELATED: [2022-23 NHL Trade Tracker]
Selected by Columbus in the first round (No. 7) of the 2007 NHL Draft, Voracek has 806 points (223 goals, 583 assists) in 1,058 regular-season games with the Blue Jackets and Flyers, and 28 points (nine goals, 19 assists) in 49 Stanley Cup Playoff games.
Gillies is 5-8-2 with a 3.70 goals-against average and .878 save percentage in 15 games with Tucson of the American Hockey League this season. The 29-year-old is 7-15-3 with a 3.31 GAA and .893 save percentage in 32 NHL games (25 starts) with the New Jersey Devils, St. Louis Blues and Calgary Flames.
"This move provides us with some organizational goaltending depth for the remainder of the season and flexibility from a salary cap standpoint to improve our team moving forward," Blue Jackets general manager Jarmo Kekalainen said.
The Blue Jackets (20-35-6), who are last in the NHL standings, traded defenseman Vladislav Gavrikov and goalie Joonas Korpisalo
to the Los Angeles Kings on Wednesday
for goalie Jonathan Quick, and forward Gustav Nyquist
to the Minnesota Wild on Tuesday
for a fifth-round pick in this year's draft.
The Coyotes (21-30-9) are 21 points behind the Winnipeg Jets for the second wild card into the playoffs from the Western Conference.
Arizona traded defenseman Jakob Chychrun
to the Ottawa Senators
on Wednesday for a conditional first-round pick in this year's draft, a conditional second-round pick in the 2024 NHL Draft and a second-round pick in the 2026 NHL Draft, and defenseman Shayne Gostisbehere
to the Carolina Hurricanes
for a third-round pick in the 2026 draft.