"without grudge" is correct and usable in written English.
You can use it when expressing forgiveness or understanding of a situation. For example, "I forgive you for what happened, without grudge."
Becky Martin (second from right): "I'm a Mennonite, and the Bible says show hospitality without grudging.
We are a new party, without a record of established electoral enemies, without grudges against us, beginners' goodwill.
We have no chance of living without grudges or vengeance if we are afraid, unsatisfied with our lot, or always on the lookout for ways of gaining advantage over others.
"We have a leader who fights only one campaign — the campaign for his own political survival … I am not a politician and not a public figure, and I came here this evening without personal aspirations, not looking for a position and without a grudge or bitterness," he said.
So he returned, apparently without a grudge.
An important test of the loser's political future is whether he can actually concede without being grudging.
I see young people who are eager to explore and talk about things that had been hidden, and they do so artfully, without holding grudges.
Develop your "new self image" without those grudges.
If there is problem to be solved, particularly person-to-person problem within the organization, let it be solved as quickly and as openly as possible without holding grudges or putting record on Personal Review or Human Resources record, unless it is beyond company policy or criminal acts.
