Chang, appointed by Fenway Sports Group in the summer, recently found himself at the centre of controversy following a contentious meeting with the man behind parody Twitter account Duncan Jenkins.
Liverpool managing director Ian Ayre wrote an official letter of apology to Sean Cummins, the creator of the fake character, as he admitted that Chang's conduct was "not appropriate" in his dealings with the Liverpool fan.
Ayre was reported to be investigating Chang's behaviour after Cummins alleged that the Liverpool director made threats against him as he attempted to identify a supposed club mole who he believed was linking information to the Jenkins account.
A Liverpool spokesman said in a statement to Sportingintelligence: “I can confirm Jen Chang has left Liverpool football club by mutual consent and has returned to the United States for family reasons."
The club added in a statement: "Jen brought a fresh perspective to the overall communications function through the use of a variety of media channels, including social media and blogs.
"He reviewed and refocused the Liverpool Ladies and created a new impetus in relation to their structure, organisation and future playing strategy.
"We would like to thank Jen for his contribution to Liverpool Football Club during his time here and wish him well in his future career back in the US.
"Jen would like to thank everyone he has worked with during his time at Liverpool for their support and respect and wishes the club every success."
The Jenkins account amassed tens of thousands of followers as Cummins's alter ego, a spoof blogger, correctly predicted the Liverpool starting XI two hours before matches kicked off and appeared to have the inside line on a number of transfers.
Cummins later stated on a detailed blog post that he took the starting XI from a message board and guessed which players Liverpool were being targeted based on tweets from other journalists.
In his post detailing his meeting with Chang in a Manchester restaurant, Cummins claimed Chang told him that a tweet from the Jenkins account about the club's pursuit of Roma's Fabio Borini had ended up costing the club an extra £300,000 when they eventually purchased the player.