Barrington, 26, is a former seventh-round pick of the Packers in 2013. He is in the final year of his four-year, $2.209 million contract with a base salary of $675,000 for 2016.
Barrington was waived by the Packers coming out of preseason, but was later claimed off waivers by the Chiefs. Kansas City cut him loose earlier in the week.
In 2016, Barrington has been active for two games but has yet to record any statistics.