The 27-year-old has agreed to join Barcelona on a five-year contract in a deal which has been reported as being worth in between £64m and £75m.
Suarez is unlikely to feature for Barcelona in the early stages of the season as he is currently serving a four-month ban for biting Italy defender Giorgio Chiellini at the World Cup in Brazil.
Following the news of the forward's transfer, Carragher wrote on Twitter: "Luis was the best Lfc player I played with bar Gerrard. Gutted he's gone but was inevitable he would go to Spain one day.
"It was the right time for everyone he wanted to go we got a good price considering incident at WC."
Suarez, who spent three seasons at Liverpool, scored 31 Premier League goals in the 2013-14 campaign.