Governor Schwarzenegger made his annual appearance today at the Sacramento Press Club. And as usual, he fielded questions on just about every political and policy topic out there.

Contrary to some of the suggestions made recently, the governor downplayed his intentions vis-a-vis the 2008 race for the White House. He said he wants the major parties to address important issues, but he’s not ready to get too involved in the campaign.

“I’m not going to chase the presidential candidates from state to state,” he said.

[More of that answer can be heard here.]

The governor also reiterated his support for moving the state’s presidential primary to February. “I’m interested in making California a player,” he said.

And is there any chance he’d endorse a Democrat for president? “We all should look at all the candidates carefully,” said Schwarzenegger. Later, he seemed to reiterate support for Republicans… but not without a lot of caveats. [You can here that answer here, with the Q asked by George Skelton of the Los Angeles Times.]

Asked about whether he was willing to reform the state’s troubled health care system in separate steps, the governor quickly said, “No. Absolutely not, because I think that we should not piecemeal this.” [You can here that question & answer here.]

And at one point, Schwarzenegger was asked about the status of his relationship with House Speaker Nancy Pelosi (D-SF). “I really don’t have a relationship with here,” he said matter-of-factly. The governor went on to say he hopes to have a working relationship with Pelosi, especially when it comes to federal funding for the Golden State. [You can hear those comments here.]

Look for audio from the full event on the SPC’s website later tonight.