The striker made his return from keyhole knee surgery on Thursday night and scored two goals to leave the Three Lions without a point from their opening two group games for the first time in history.
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"It wasn't revenge but in England they talked about the injury and the coach had words that annoyed me," Suarez is quotes as saying by The Liverpool Echo.
"It was one of the best games I’ve played. It’s an amazing moment for me.
"Maybe a few days ago I thought this wouldn’t be possible. Before the game too many people in England laughed about my attitude over the last few years.
"This is a very good time for me. I want to see what they think now.”
Suarez is now confident he can continue performing at the highest level in light of Hodgson's comments that he is not a "true great", with Uruguay going head to head with Italy on Tuesday for a last-16 berth.
"My wife and my two children are important to me and Walter is also important, the goals were for him because of what he did for me," Suarez said.
"I have to thank him. I scored the goals but he is the man responsible for them.
"I was probably only 50 per cent fit but it is due to the work of all the fantastic doctors and physiotherapist that I was able to be 50% ready and I am thankful that that was enough to beat England.
"I have some more days to get ready for the next game now and the more I train the sharper and more ready I will be."