The 28-year old former Brisbane Roar captain has managed just three appearances for 'Gers since his arrival at Ibrox but he feels that missing out on the next Australian match will allow him to focus on club duties and cement his spot - wherever that may be - in Ally McCoist's starting eleven.
"I'm hoping for a proper run at Rangers now without the travel and will try to help the team as much as I can," McKay told the Daily Record.
"The fans have still to see the real me. I've been playing in different positions so they will only see what I'm capable of after a run of matches in the side.
"I have to work hard and wait for my chance. I love playing central midfield but we have some great players in there so I need to bide my time. I played an advanced role the other week but that's a new position to me. I'm happy to play anywhere because I am versatile for the national team too.
"I've been asked to fill a variety of roles, even at left-back, so it leaves options open. Left of centre is the position I most enjoy though."