However, Ospreys players did not fare well with Gatland last season.
His 34-man squad to tour Australia included just three players from the region, despite them reaching the knockout stages of both the United Rugby Championship (URC) and Europe.
In comparison, 10 players were selected from Cardiff.
Players including Jac Morgan, Adam Beard and Rhys Davies were ruled out by injury but the likes of prop Nicky Smith, Morgan Morris and Owen Williams were overlooked while Sam Parry walked out of camp after feeling slighted by Gatland.
“You always want your players to get the recognition they deserve but you can’t always guess what other people are looking for,” said Booth.
“There is dialogue with the Wales camp to maintain the ambitions of those players.
“A lot of our players were injured, which is out of our control, but all of those players will be making sure they put their best foot forward because they’re all desperate to play for their country.”
