The Polish world number one, who collected six titles this season before her 37-match win streak was ended by Alize Cornet at Wimbledon, has a limited history at the Canadian event.
The first of back-to-back pre-US Open tests in August for two-time Roland Garros champion Swiatek will be followed by the Cincinnati Masters with a preparation week to spare before the August 29 start of the Grand Slam in New York.
She will play her first match against the winner from American Shelby Rogers and 19th-ranked Veronika Kudermetova.
Second in the field will be Estonian Anett Kontaveit, beaten in the first round here last season.
Raducanu this week reached the Washington quarter-finals and has been controversially engaged in a coaching trial with former Russian player Dmitry Tursunov.
The Tunisian is one of a group of other threats in the quarter.
The 54th-ranked Andreesu, whose career since winning the US Open in 2019 has been beset by injury, opens here in the first round against 11th seed Daria Kasatkina.
Sister Venus Williams, 42, was also handed a wild card, playing Swiss Jil Teichman in the first round with the winner to get Kontaveit.
Wimbledon champion Elena Rybakin will be looking for her first win since taking the title at the All England Club as she takes on a qualifier in the first round.