Peterson has just completed a spell at League One Tranmere Rovers.
"I have no comment to your information," he told Fotbolldirekt.se regarding talk of fresh interest from Premier League clubs and abroad.
"I focus fully on Liverpool. There is nothing else. I have a very positive feeling here right now and I feel I've earned that feeling. I've been working really hard recently and if I lower my head again and I work as hard as I can, I will get chances here.
"When I play, I'll show the club what I can do. But I won't shut the door on anything."
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