Rangers confirmed the appointment of the 46-year-old as their new manager on Thursday but he is yet to receive a work permit.
The Dutchman will not be in the dugout when Rangers take on Hibernian in the Scottish League Cup semi-final on Sunday, but Dalziel believes his presence will loom large over the players.
The former Rangers star believes it will be a boost for the players to know who their new manager is despite him not being in the dugout.
He feels the Rangers players will be looking to make a good first impression on the new manager in the big game as Van Bronckhorst will have different ideas for the team and it is a fresh start for everyone at the club after the end of the Steven Gerrard reign.
Dalziel said on Clyde 1’s Superscoreboard: “I think the Rangers fans will be delighted with that appointment.
“I think the timing is good.
“I think as much as people might say that the team are prepared, it is nice to know who the manager is from the players’ point of view.
“They have got a big game coming up, semi-final at the weekend and that will probably give every player a boost as well.
“When a new manager comes in then you have got to go and impress him. Gone are the days of pitching up at Ibrox under Steven Gerrard who knew his strongest eleven.
“This guy might have different thoughts, different formations, and different way of playing and so you start fresh again.
“I think that’s a good thing for competition for places.”
Van Bronckhorst is expected to take charge of training at Rangers from next week with them facing Sparta Prague in the Europa League next Thursday.