General Motors Corp. (GMGMQ) Chief Executive Fritz Henderson said Tuesday the global auto market shows signs of stabilizing, albeit at "anemic" levels.

Henderson, speaking in an online question and answer session, said global sales are tracking close to the auto maker's projections.

While still poor, Henderson said, it's "better to not be falling."

Henderson said credit is becoming more available following a lengthy stretch in which a lending crackdown contributed to sinking global auto sales.

Sales so far in June appear to be improving slightly, Henderson said. The company feared a drop-off in sales would result from a bankruptcy filing. GM entered Chapter 11 on June 1.

"We have seen small improvements in sales on a monthly basis, with our key messages on product and brand getting through," he said. "We are listening to customers and our dealers, modifying as needed, and will continue to make changes."

On Monday, Ford Motor Co. (F) Chairman Bill Ford Jr. said Ford expects U.S. auto sales, tracking at multidecade lows, to improve in the second half of 2009. He said there are "early signs" that U.S. sales are stabilizing.

-By Sharon Terlep, Dow Jones Newswires; 248-204-5532