Theoretically, any headphone that has a mini-jack can be used with a smartphone. Theoretically. In real life, there are a few things to keep in mind:
Anyone listening to music or podcasts on their smartphones will hear incoming calls via a ring tone. If one wanted to accept the conversation, miserable fumbling is necessary, which was already sufficiently documented in various funny movies.
So, the first requirement for a smartphone headset is: you need a microphone and a phone control. In simpler models, this is a button that interrupts the music and accepts the conversation. Better models have that feature set integrated in a controller …
Pause, back and forth, turn the volume up and down. You do not want to grab your smartphone when you want to skip a track or change its volume, especially when doing sports. So please consider a headphone with a good remote control, offering buttons for music control, but also additional features such as activation of voice assistants like Siri or Alexa.
One smartphone headset for all your mobile phone models? Many manufacturers offer different versions for different devices! Again, you definitely should pay attention to it. As certain smartphone protocols vary, manufactures sometimes sell the same model but optimized for Apple iOS or Android, i.e. Samsung, Sony, HTC, LG and others.
Perhaps the most important thing to keep in mind comes at the end. Smartphones supply their headphone jack output only with relatively little power. This means that a headphone needs to have a low impedance to work properly, typically around 20 to 80 ohms. Here at headphonecheck.com we measure the impedance and you can find this important spec in the sidebar of the respective review. The higher the impedance, the less volume a headphone have!