Tuesday, MLB Network's Ken Rosenthal reported that Greinke pitched the game with a case of the flu.
"He had had over the last week or so some upper respiratory issues like a lot of our guys have had this spring," Hale said before the D-backs' 11-6 win Tuesday. "Whether it's allergies or whatever it is, but he was checked out and he was fine. I think that was the extent of it."
Hale was then asked if he believed it was a factor in the way Greinke pitched.
"I don't, no," Hale said. "I think what bothered him was their bats and location of the pitches. If he had the flu and it was an issue he probably wouldn't have been able to start. If it's that debilitating you're not going to send a guy out there that's dehydrated and going to get injured. We're not going to hurt our No. 1 starter."
Greinke speaks with reporters only on the day he pitches, so he was not available to reporters Tuesday.
Steve Gilbert is a reporter for MLB.com. Follow him on Twitter @SteveGilbertMLB. This story was not subject to the approval of Major League Baseball or its clubs.