Variable importance based on the model created with multiple classes in R

Hello
In our study, we want to calculate variable importance based on the model created with multiple classes. But we could not find any package or code directory that does this. Can you help with this?
Thanks

caret has model-based importance measures and, when the importance code allows it, it returns importances for each class. I don't think that this is implemented in very many cases though.

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Is there a general method for obtaining model-based variable importance for a predictive model in any package in R? Not all models have variable importance in Caret. Thank you in advance for your assistance.