“I’m here to set standards, work hard and do my very best to earn the respect of the Rangers fans.
“There’s a lot to be done, but the goal is clear: win matches, win trophies and give Rangers fans a team that they can be proud of.
“We want to play with bravery, to take the ball, to be aggressive, and to stand up in the big moments.”
Martin’s role is as head coach rather than manager – in keeping with Rangers’ new set up with former sporting director Kevin Thelwell now in post alongside his former Everton colleague, Dan Purdy, as technical director.
He will be joined at Rangers by assistant Matt Gill and performance coach Rhys Owen. No further additions to the coaching staff have yet been confirmed.
Martin is expected to speak to the media later on Thursday.
Rangers chief executive Patrick Stewart, who led the head coach search along with Kevin Thelwell, said: “Our criteria for our next coach were clear: we wanted a coach who will excel in terms of how we want to play, improve our culture, develop our squad, and ultimately win matches. Russell was the standout candidate.
“This appointment is about building a winning team and a strong culture. He is no stranger to our club, we expect success and Russell knows that. We are excited for his leadership.”
Thelwell suggested Martin’s time in the Premier League “has sharpened his approach, both tactically and personally”.
Giving an insight into what a Rangers team under Martin will be like, he added: “His teams play dominant football, they control the ball, dictate the tempo and impose themselves physically.
“They press aggressively and work relentlessly off the ball. These are all characteristics that we believe are required to be successful at home, away and abroad.”