In his statement, he asked his associates "including my fans, the good people at my foundation, business partners, the PGA Tour, and my fellow competitors, for their understanding."
The Woods team has been in touch with Woods' sponsors as the scandal has swirled around him, Woods' agent Mark Steinberg said Friday.
"It would be both premature and inappropriate to comment on the status of specific business relationships," Steinberg said in a prepared statement. "Suffice it to say, we have had thoughtful conversations and his sponsors have been open to a solution-oriented dialogue. Of course, each sponsor has unique considerations and ultimately, the decisions they make we would fully understand and accept."
Nike and EA Sports late Friday suggested they are making no changes regarding their relationships with Tiger.
"Tiger has been part of Nike for more than a decade," Nike spokeswoman Beth Gast said. "He is the best golfer in the world and one of the greatest athletes of his era. We look forward to his return to golf. He and his family have Nike's full support."
"We respect that this is a very difficult, and private, situation for Tiger and his family," read the statement from EA Sports. "At this time, the strategy for our Tiger Woods PGA Tour business remains unchanged."
The PGA Tour also said Friday it backed Woods' plan "to step away from competitive golf to focus on his family," but added, "We look forward to Tiger's return"
Woods' absence will be a tremendous blow to golf. When he missed eight months last year after knee surgery, TV ratings fell by 50 percent.
Connell Barrett, who has written about Woods for Golf magazine, said the longer Woods is gone, the worse it will be for the PGA.
"The ratings definitely will be lower," Barrett said. "I imagine the galleries will be smaller. And eventually, if he stays off the tour for an extended time, the purses will be smaller. Because with Tiger Woods in the field, there's people, which equals more dollars."
Fellow golfer John Daly this week spoke bluntly of the prospect of pro golf without Woods.
"It would survive, but not to what it is when Tiger plays," Daly said. "Because of Tiger is why we're playing with so much money."
Woods and Nordegren are considering an escape to Sweden to plan their next move, according to reports. Swedish newspapers last week confirmed that Nordegren, who is Swedish, had purchased a $2 million home on an island off Stockholm, reachable only by boat.
Nordegren and Woods married in 2004. Together, they have a daughter Sam, 2, and son Charlie, 10 months.
ABC News' Ron Claiborne, John Berman, Sharde Miller and Dan Arnall contributed to this report.