The Egyptian winger signed a five-year deal on Thursday to make the switch from Serie A side Roma, and Garcia backs the former Chelsea player to succeed in his second spell in the Premier League.
"He has everything to be successful at Liverpool," Garcia told Omnisport.
"It is not easy. We have fantastic players in the team. Playing for Liverpool always comes with a lot of pressure.
"Fans across the world are following you. You have to give 120 per cent. But I think he has everything to do a good job. I think the team need someone like him."
The transfer broke Liverpool's record fee, with Roma cashing in on an initial €42m, which could rise to €50m should Salah achieve certain benchmarks outlined in his contract.
"It's not about the money. It's about how he will adapt to the team, to the philosophy of the club and playing under (Jurgen) Klopp," Garcia added.
"He is a different manager who wants every game the best and puts the players on the spot all the time.
"It's not easy. It depends on how he arrives. But of course, if you bring in someone with that name, with the background like Salah, you know they are always going to add something."