Further to this, you will need to create the Delete action in your development model and then sync the change to your deployed model. Once the model is synced, you will be able to run your action from the deployed model.
Hi Devika - it appears that the list you are trying to delete from is not marked as a Production Data list. If this is the case, you will not be able to modify the contents of the list from the deployed model. If the list is structural data, you can run the Delete action in the development model and sync the results to your deployed model.