Toyota Motor has come up with a remedy to fix the millions of cars

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it recalled because their accelerator pedals could become stuck, dealers and a U.S. government official said.

Word of the solution came Saturday as the French automaker Peugeot said it was recalling cars it built with Toyota at a plant the companies operate in the Czech Republic, widening a recall that has affected cars in the United States, Canada, China and Europe.

Toyota presented a plan for repairing the potentially sticky pedals to the National Highway Traffic Safety Administration, a senior official at the U.S. Transportation Department said. The official spoke on condition of anonymity.

The safety agency is not required to approve remedies but can reject them if it believes they will not sufficiently address defects. It did not reject the remedy, the official said.

Some dealers said that Toyota officials had telephoned Saturday to say that a remedy was ready. ‘‘We got the call this morning,’’ said Peter Blackstock, the owner of Victory Toyota and Lexus Monterey Peninsula in Seaside, California.

‘‘The parts are on their way.’’ A Toyota spokesman, Mike Michels, said the company planned an announcement ‘‘very soon’’ andwould send letters to owners, but he said it could take several weeks for notices to arrive. Toyota wants owners to wait for the letters before taking their cars for repair, he said.

Mr. Blackstock said he expected that dealers would be sent replacement accelerator pedals, which are produced for Toyota by CTS, a parts supplier based in Elkhart, Indiana.

Also Saturday, the U.S. traffic safety agency said it had opened an investigation into the manufacture of the accelerator pedals.

Last week, Toyota said it would temporarily stop production of eight models at plants throughout the United States and Canada and to halt sales of those models. The plants were scheduled to be closed for a week, beginning on Monday.

The recall also affects the Pontiac Vibe, which Toyota made until recently.

Toyota did not stop production or sales in Europe, because it said it had already devised and implemented a remedy there.

The recall for accelerator pedals affects 4.1 million cars worldwide.

Toyota has also recalled an additional 5.4 million cars in the United States whose accelerator pedals could get stuck on floor mats. Some models are included in both recalls.

While some said the recalls have given a black eye to Toyota, the world’s largest automaker, its chief executive, Akio Toyoda, apologized Friday but said consumers should feel confident driving the company’s cars.

Some competitors have tried to capitalize on the trouble by offering trade-in deals to Toyota owners. But it was unclear what effect the recalls might have on Toyota’s sales in the United States.

Edmunds.com, a Web site that provides car-buying advice, forecast that Toyota’s market share for January would fall to a four-year low. But Auto- Trader.com, which tracks consumers’ shopping habits, said consideration of Toyota brands had risen over the last few days.

Mr. Blackstock, the California dealer, said he did not think the recalls would have a lasting effect on his business, or that of Toyota.

‘‘If this is the worst thing that happens to us this year,’’ Mr. Blackstock said, ‘‘it should be a pretty good year.’’ Matthew L. Wald contributed reporting from Washington.