The WTA world number two confirmed the split from Hogstedt on Thursday, having gone out of Wimbledon in round two against Michelle Larcher de Brito.
The Russian said Hogstedt was “not able to travel in the near future”, and two days later the 26-year-old made public her new coach will be the 60-year-old Connors via her official website.
"I am really excited about our new partnership and looking forward to the upcoming tournaments," she said.
"After almost three years of working together, Thomas Hogstedt and I decided to part ways.
"I am very thankful for all his work, and wish him much success in the future."
Connors won five US Open men’s singles titles, as well as Wimbledon twice and one Australian Open, and topped the ATP rankings from July 1974 to August 1977.
Connors has worked with Sharapova in the past, during her preparations for the Australian Open in 2008.