Hessenthaler was previously in charge at Gillingham
Dover manager Andy Hessenthaler has put goalkeeper Lee Hook and midfielder Tom Davis on the club's transfer list.
"I made the decision with a heavy heart because Tom and Lee are good lads. But I've just decided that we need to freshen things up," said Hessenthaler.
"To bring anyone in, I need to shift players out. There may be one or two more going on the list later, if I feel things aren't working out."
Athletic have lost their last seven games in all competitions.
Dover lost 3-1 at Weston-super-Mare on Saturday and Hessenthaler was not impressed with his side's performance.
"I felt there was not a lot of desire from the players. That's not something I've said too often about this team.
"I've defended them in other games. I thought we played well against Newport the previous week and were unfortunate to lose that game. But on Saturday, the performance wasn't acceptable."
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