The Blues released a statement on Wednesday morning confirming a number of changes at the top of the club following the takeover.
Chelsea will be searching for a new sporting director, with Granovskaia leaving after 20 years.
She was one of the key members of the Roman Abramovich era and developed a reputation as one of the toughest negotiators in football.
"Boehly will operate as interim sporting director until the club names a full-time replacement, continuing the club's work towards its targets during the current transfer window," read Chelsea's statement.
Granovskaia will remain available to Chelsea during the current transfer window to help the club's major transition.
"We thank Marina for her many years of excellent service to the club and wish her all the best in her future ventures," said Boehly.
All the top Boehly-Clearlake Capital consortium figureheads have been added to Chelsea's new board, as the west London club's new era continues to gather pace.
"As custodians of Chelsea FC, we now begin executing our long-term vision and plan for the club, creating an outstanding experience for its passionate, loyal fans, and continuing to challenge for top honours in line with Chelsea FC's dedicated history," said Boehly.
"Working together, side by side, we are firmly committed to winning, both on and off the pitch. For us, that effort has begun."
Clearlake chiefs and Chelsea co-controlling owners Behdad Eghbali and Jose Feliciano have also been added to the Blues' new board.
Los Angeles Dodgers co-owner Mark Walter, Swiss magnate Hansjorg Wyss and British tycoon Jonathan Goldstein have all been officially named on the Chelsea board.
Music industry supremo Barbara Charone and Conservative peer and columnist Daniel Finkelstein have also been added to the board, along with Clearlake Capital partner James Pade.
"As the new era of the Boehly-Clearlake ownership begins, we are excited to build a championship organisation and grow Chelsea FC as a global platform," said Eghbali and Feliciano.
"We look forward to backing Thomas Tuchel, Emma Hayes and their teams, and will provide proactive, unbending support to make Chelsea's loyal fans and our partners proud."