Suarez signed for Barcelona earlier this month.
"Last summer when he was out in the cold and training on his own that's the conversation I had with him. I said, 'Don't go to Arsenal'.
"With all due respect to them, I said to him that he was too good for Arsenal.
"I said, 'If you score 30 goals for us and win the PFA Player of the Year, the press Player of the Year, they (Barca and Madrid) will come back for you'.
"I have experience of those clubs myself and I know if you play well they will come back and come back. So I knew they'd be back for him as well.
"I just thought for his own sake, and to get respect off the Liverpool fans, he had to give us at least one year."
Gerrard continued: "A lot of people might still think he should have given us one more, but that's the same with most foreigners.
"For me, I would have been really sad and disappointed to see Luis go to Arsenal.
"I'm disappointed to see him leave now but I am happy for him that's he has got what he wants and deserves.
"Since day one he has been phenomenal in training every day and in the games.
"His wife is from Barcelona and I don't think you can begrudge a player like that who has worked so hard for his dream.
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