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Rickmers, which manages the ship for Maersk said Iranian navy fired "warning shots" at Marshall Islands-flagged Maersk Tigris.
Los Angeles Mayor Eric Garcetti's office says there are "plenty of trucks and drivers."
French ocean carrier increased container volumes 10.8 percent compared to first quarter 2014.
Trade Promotion Authority, a bill that grants the president authority to conclude trade deals without congressional interference, moved forward in the Senate Thursday morning.
Three of the biggest U.S. retailers have said maintaining in-stock levels was a challenge in first quarter 2015 because of West Coast port disruption.
The Southern California port plans to acquire 3,000 container chassis in two steps.