Sporting director Olaf Rebbe has followed manager David Wagner out of Huddersfield.
Rebbe has left the Premier League strugglers by mutual consent after only seven months, three days after the departure of his fellow German.
"The club wants to make a fresh start as it searches for its next head coach, following the recent departure of David Wagner, and this parting of ways has been agreed as the best for everyone concerned," the Terriers said in a statement.
Huddersfield chief executive Julian Winter said: "We thank Olaf for his service and wish him all the best for the future."
The club said chairman Dean Hoyle and Winter would work with head of recruitment Josh Marsh on first-team matters in the short term.
Wagner also left by mutual consent on Monday after admitting he needed a break from the rigours of the battle to keep the league's bottom side up against the odds.
Reports have suggested the Terriers are ready to announce their new manager after Sunday's match with Manchester City, for which Under-23 coach Mark Hudson will be in charge.