The Sydney FC coach will reunite with the teenage talent he had signed four seasons ago for Central Coast.
The 19-year-old moved a year later from Gosford to the Croatian giants but had failed to establish himself, leading to his return to Australia.
"Anthony is a talented young attacking midfielder who I expect to thrive in our environment," Arnold said on Friday.
"Anthony is young, fast, creative and I'm looking forward to watching him develop further this season.
"Anthony knows there is a lot of hard work ahead as he joins this great squad of players."
Before linking up with Arnold at the Mariners, Kalik was a junior with the Sky Blues.
He said he was really thrilled to re-join his home-town team.
"I'm a Sydney boy through and through and, having spent time here previously, I know what is in store.
"I know there is a lot of hard work to be done in joining Australia's best team, but I'm up for the challenge and can't wait to get started."