American carriers can relax — their freedom to fly anywhere in the European Union is no longer threatened by Washington’s refusal to allow foreign control of U.S. airlines. That was the biggest news from last week’s agreement to expand the 2007 U.S.-EU Open Skies accord.

When the deal was first negotiated, carriers from both sides of the Atlantic were permitted to fly between any two cities without the previous government restrictions. However, those rights could have been lost next year, unless European companies could own controlling shares in U.S. airlines. Although that hasn’t happened, the EU agreed on Thursday to extend Open Skies indefinitely.

“It’s a big win for us,” said John R. Byerly, the top U.S. negotiator and deputy assistant secretary of state for transportation affairs. “There was a cloud hanging over the stability in the trans-Atlantic market, and now it’s gone. It was not an easy agreement. It took us eight rounds, beginning in the late spring of 2008″…

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