The Terminator 2 actor was picked up by police for allegedly getting into a physical fight with his girlfriend at LAX on Tuesday (October 30).
Furlong was jailed for hours after his arrest, apparently causing him to miss a flight to Detroit for rehearsals and wardrobe fittings for the movie Misled.
Misled producer Scott Baldyga has told TMZ that Furlong has since been replaced by another actor because his personal problems held up work on the movie.
"I love Eddie. I think he's a great actor, but we are two days away from shooting and we have another guy to cast in his place," Baldyga explained.
The producer added: "We aren't going to lose any sleep over this."
A representative for Furlong has not responded to his sacking from Misled.
The actor previously made headlines in January 2011 when he claimed to be "completely broke" and said he could not meet required child support agreements for his son Ethan.