With some four months remaining until the World Cup, the battle for berths in the 23-man squad is heating up and Wondolowski showed he wants to be in the mix. The San Jose Earthquakes striker pounced on a rebound conceded by Jung Sung-Ryong in the fourth minute to head home the opening goal from close range.
Korea Republic nearly equalized moments later from a corner. A near post ball was flicked backwards by Matt Besler and barely kept out of the net by US goalkeeper Nick Rimando.
Ten minutes later the Asian side had another chance when a US defensive lapse let Lee Keunho move into the penalty area, but his close range effort sailed over the crossbar. Although the South Koreans dictated the run of play in the opening half, they were unable to create any quality chances.
The United States held the slim advantage until the 60th minute, when Graham Zusi's low cross to the near post was laid off by Landon Donovan, and Wondolowski belted home the loose ball. Despite several set piece opportunities, South Korea were unable to get past Rimando.
Korea Republic, who will play in World Cup Group H versus Belgium, Algeria and Russia, finished their three-match North American tour following a 1-0 victory over Costa Rica and two defeats. They fell 4-0 to Mexico in San Antonio, Texas, on Wednesday.
The United States, who will face Portugal, Ghana and Germany in Group G in Brazil, continue their preparations with a friendly against Ukraine in Kharkiv on 5 March.