The defender joined Gers on loan from Norwich City on Tuesday and Murty is pleased to have the 32-year-old on board.
The pair worked together at Carrow Road and Murty says he has the right attributes on and off the pitch.
Murty told RangersTV: “He’s a character and a personality that I know very, very well. He leads by what he does and how he lives his life, and he is a consummate professional.
“We need that. We need strong characters in the group but we also need people who are going to hold others to account if they are not quite at the right standard.
“I want people who are going to hold others to account to make our practice better and to make others better on a daily basis. I believe Russell can be that kind of guy.”
He added: “I wanted to bring in someone that I know has high standards and can drive the standards of the group forward. As I said, I think we need more, better players who make the group better, and we also need people who are able to stand up in a tough changing room in tough circumstances and put forward their view forcefully in order to make us better.”
Watford boss Javi Gracia does not think Abdoulaye Doucoure's form will be affected by his omission from France's latest squad.