Gary Neville branded Shaqiri "unprofessional" last season following Stoke's relegation while brother Phil called him a "disgrace".
"They [the Nevilles] were Manchester United players. Maybe they don't like Liverpool. Some people like you, some people don't like you. I don't want to comment on what is said by people I don't know," Shaqiri told reporters on Liverpool's preseason tour to the United States.
"I think I played three years already in the Premier League and I've proved I can play here. I can score goals and give assists. I know the league well. I have a lot of experience. I was the top scorer in the [Stoke] team with goals and assists, so I don't have to say any more.
"I think everybody knows that [I was the best player last season]. My conscience is clear."
Former Bayern Munich midfielder Shaqiri, 26, played in three Premier League campaigns for Stoke before this summer's £13 million switch to Liverpool -- a move Jurgen Klopp called a "no brainer".
And after seeing Liverpool reach the Champions League final last season and finish in the top four, Shaqiri -- in line for his debut against Manchester United on Saturday in the International Champions Cup -- is eager to win silverware at Anfield for the first time since their League Cup success in 2012.
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