Ibrox side Glasgow Rangers parted company with Mark Warburton last weekend.
Murty has stepped up to manage Rangers’ first-team, following the departure of Mark Warburton.
And the caretaker boss is trying to make sure Rangers’ players know that they will have to take responsibility for their own performances.
“I have to make it clear to them, and once I make it clear I have said that I will be accountable to them for my behaviours, but they need to be accountable to the team and myself for what they are doing on the pitch. They know that,” Murty said.
“They were open with it, quite pleased with it. I am not saying it is different from how the first team worked previously, it is just how I like to be.”
Murty has got off to a winning start at Rangers, as he guided his side to a 2-1 victory over Morton in the cup last weekend.
Murty is not expected to land the Rangers’ job on a permanent basis as things stand, though.
Alex McLeish is currently the favourite to land the Light Blues’ job until the end of the season, with Frank de Boer the long-term target.
Rangers are next in action on Saturday, when they take on Dundee at Dens Park.