The Bosnia-born striker, who was raised in Denmark, joined Liverpool aged 17 in the summer of 2008.
Barcelona and Tottenham had also made a move for the Denmark youth international before he opted to sign a three-year deal at Anfield.
And although he played in the reserves, the Reds did not hand him a single first-team appearance before his contract expired at the end of the season.
Liverpool chose not to offer him a new deal and he is now set to continue his career in Croatia.
"Everything is going according to plan and there are no more obstacles for Nikola to move to Hajduk," said his father, Predrag Saric.
"In the next few days he will sign for the next three years.
"He is ready to move on after three years of pure hell at Anfield."