Murray, arriving on the back of winning the season-opening exhibition event in Abu Dhabi, coped with the sweltering conditions in Perth but admitted he continues to be troubled by a mystery left shoulder injury which troubled him at the weekend.
After breezing through the first set, the world No 6 was put under pressure by his French opponent in the second and had to fight hard to hold his serve in a marathon eighth game during which his left shoulder started hurting.
Murray had to wait till the eleventh game for the decisive break and completed the win on his second match point with a booming ace.
“I had the (shoulder) problem in Abu Dhabi couple of days ago and haven’t had much time to serve after that. We flew straight from there and arrived yesterday,” Murray said.
“It doesn’t really make sense for a right-handed player to have a problem with their left arm. So I am not sure exactly what it was and I had a scan in Abu Dhabi and that was all clear.
“But it’s still a little bit sore today.
“It was a bit of an eye-opener when we arrived at the practice court this morning and it was 44 degrees) outside.
“I’m from a small town in Scotland and the weather is not quite like that there. The conditions here are fantastic to get ready for Melbourne (this month’s Australian Open).”
Heather Watson is playing Alize Cornet in the next rubber.