Murray, who was knocked out in the first round at the Citi Open in Washington last week, suffered the same fate, as he was thrashed 6-1, 6-3 after being handed a difficult draw against the No10 seed.
There was better news for the Brits elsewhere, however, as Cam Norrie, Jack Draper and Dan Evans all secured progress into the second round.
Murray won the tournament in 2009, 2010 and 2015 and is looking to build momentum ahead of the start of the US Open later this month, but he struggled to deal with Fritz's power in the first set, in particular.
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