The England centre-back came off early in the second-half for Calum Chambers, who subsequently broke the deadlock.
Asked about White's substitution, Arteta said: "With Ben and with some others, he had a bug, so he wasn't feeling great.
"We had some strong individual performances. They deserved the opportunity and grabbed it.
"We have hunger and desire and players willing to work, we need to carry on with this run and win more matches."
On the performance against Leeds, Arteta added: "A really good performance over a team where the manager in every action is so committed.
"We understood the game and what we had to do, we did this the right way.
"They gave us some issues, they always do, but we created a lot of shots and situations without being very clinical, we adjusted a few things at half time and we were better and stronger."
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