The phrase "drop like a hot potato" means to abandon or reject something quickly and without hesitation. Some antonyms that reflect the opposite meaning of this phrase include embracing, accepting, keeping, and holding. For instance, if someone chooses to embrace an idea, it means they are wholly accepting and supportive of it. If a person decides to keep something, they are choosing to hold onto it and not let go. Similarly, if they accept something, they are agreeing to take it in wholeheartedly. Therefore, if you want to express the opposite of "drop like a hot potato," you could use these antonyms to signify your support, acceptance or embracing of a particular notion or concept.