Park has been a disappointment for Texas, going 10-11 over his first two seasons with the Rangers. The Korean right-hander has pitched much better this year, going 1-2 with a 3.92 ERA in three starts, and is coming off his best outing of the year.
Park pitched seven innings, allowing eight hits and striking out five in a 5-0 win over the Seattle Mariners on Friday.
Texas is off to its best start since winning 10 of its first 15 games in 1998. The Rangers, who have finished last in the AL West in each of the last four seasons, are trying for their first three-game sweep of Anaheim since September 2001.
The Rangers, who won the opener of the three-game set Tuesday, had not won any of their previous 20 road series against AL West teams since taking two of three at Anaheim in September 2000. They lost 18 of those series and split two.
Angels starter John Lackey lost his third straight start Wednesday. He pitched 6 2-3 innings and allowed three runs and seven hits.
Anaheim hopes Bartolo Colon can end its losing streak at three games. The hard-throwing right-hander has given up only four runs in 22 innings this season.
Colon is 7-5 with a 4.05 ERA in 15 career starts against Texas.