The 30-year-old defensive midfielder was left out of the side as the Italian giants beat Shamrock Rovers 2-0 in Europa League qualifying on Thursday.
Reds alert: Poulsen (right) could be plying his trade at Anfield
Poulsen, who played for Denmark in their three World Cup games, has been linked with a move to Merseyside for most of the summer.
With Javier Mascherano heading towards an Anfield exit, Liverpool will seek a replacement and Marotta said: 'Liverpool have shown interest in Poulsen. But the fact that he did not play in this game (against Shamrock) is only due to a technical decision.'
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