Danny Duffy limited the Rangers to one run in 6 2/3 innings Friday in the Royals' 3-1 win.
Cheslor Cuthbert hit his ninth homer Friday off the Rangers' Yu Darvish.
Ian Kennedy was shelled for seven earned runs in 4 1/3 innings Wednesday in a loss to the Indians.
Alex Gordon is absent from the Royals' starting lineup on Wednesday afternoon.
Kendrys Morales (foot) went 1-for-4 with a run scored in his return to the Royals' lineup Tuesday.
Making his first start for the Royals, Brian Flynn gave up three runs in 2 1/3 innings Tuesday against the Indians.
Alex Gordon finished 0-for-4 with two strikeouts Tuesday against the Indians.
Mike Minor (shoulder) threw a successful simulated game on Tuesday in Kansas City.
Royals prospect right-hander Kyle Zimmer will undergo surgery for thoracic outlet syndrome.
Jarrod Dyson tripled and hit a grand slam in the Royals' seven-run eighth inning Monday in a 7-3 win over the Indians.
Edinson Volquez allowed two runs and four hits in seven innings Monday in a no-decision against the Indians.
Kendrys Morales is day-to-day with a right foot contusion.
Whit Merrifield is in Monday's lineup against the Indians.
Brian Flynn will start Tuesday's game against the Indians.
Royals transferred RHP Kris Medlen to the 60-day disabled list.