The trio’s deals expired with Arsenal at the end of the season and have been deemed surplus to requirements.
Arshavin was the highest profile of the three and he failed to make an impact after a promising start to life in London.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.