Hibbard was in great form for the Lions Down Under, appearing in all three Tests and excelling from the start in the decisive 41-16 victory in the third and final Test at the ANZ Stadium.
Parry, who moves to the Ospreys from PRO12 outfit Newport Gwent Dragons, said Hibbard will act as his inspiration as he fights to start in the No.2 jersey.
"It's about being aggressive with ball in hand and working hard.
"Of course it will be hard for us to replace Richard. He's a Lions hooker who has done a huge amount in the game, but there are still some good hookers here."