Most consumer personal electronic devices containing batteries are allowed in carry-on and checked baggage, including but not limited to cell phones, smart phones, data loggers, PDAs, electronic games, tablets, laptop computers, cameras, camcorders, watches, calculators, etc. This covers typical dry cell batteries, lithium metal, and lithium ion batteries for consumer electronics (AA, AAA, C, D, button cell, camera batteries, laptop batteries, etc.)
So it seems like they would prefer them to be on a carry-on but there isn’t a rule against it.