The six-foot-eight Mykhailiuk averaged 8.5 points, 2.5 rebounds and 20.1 minutes in 66 games for the Detroit Pistons and Oklahoma City Thunder last season.
The Ukraine native had a season-high 22 points against the Raptors on March 31.
Mykhailiuk was picked in the second round (47th overall) by the Los Angeles Lakers in the 2018 NBA Draft. He owns career averages of 7.3 points, 1.8 rebounds, 1.5 assists and 18.5 minutes in 164 NBA games with Los Angeles, Detroit and Oklahoma City.
The six-foot-10 Perry was selected in the second round (57th overall) by the Los Angeles Clippers in the 2020 NBA Draft before his rights were traded to the Brooklyn Nets in a three-team deal with Detroit.
In 26 games as a rookie with the Nets last season, he posted averages of 3.0 points, 2.8 rebounds and 8.1 minutes.
The Raptors open training camp next week.