There are several synonyms that can be used instead of "with approval". One of them is "favorably", which denotes a positive assessment or reaction. Another word that can be used instead of "with approval" is "commendably", which suggests that the subject matter is worthy of praise and appreciation. "Agreeably" also conveys that the action or behavior is acceptable or in agreement with a particular standard or expectation. "Approvingly" is another synonym that implies a favorable assessment or positive acknowledgment. Finally, "endorsement" suggests full support and approval of an action or concept, similar to "with approval".