Erik ten Hag began the season under scrutiny after surviving an internal review conducted by new co-owner Jim Ratcliffe and his advisors at the end of last term.
The incident occurred on Monday at Kate’s Cottage, a notorious spot on the mountain section of the 37.73-mile (60km) course. T
The 38-year-old will retire at next week's tournament in Malaga where he hopes to win a fifth Davis Cup to add to his 22 Grand Slam crowns.
Jurgen Klopp stepped down as Liverpool manager in the summer citing exhaustion after a successful nine-year spell.
Swiatek also withdrew from the ongoing WTA event in Seoul which would have been her first appearance since a quarter-final exit to Jessica Pegula at the US Open.