Here, the PA news agency takes a look at some of the contenders to replace him.
The 35-year-old was a huge success with Manchester City women, winning a WSL title and two FA Cups over a seven-year period so his knowledge of the women's game will be tough to match. However, Cushing recently left his position to go and work as Ronny Deila's assistant manager at MLS side New York City. Having only moved to the United States in January, he might be wanting to give it a longer crack and might also see his future in the men's game.
The English coach is currently in charge of the Canada men's national team, having taken the job in 2018. He has experience of the women's game, though, having led Canada to back-to-back Olympic bronze medals in 2012 and 2016 while also taking them to the quarter-finals of the 2015 World Cup on home soil. He is a big part of the Canadian set-up, though, so may take some persuading to give up his life there to return to the UK.