Almost all of the Nexus devices have already received the newly launched Android 7.0 Nougat by now. While the non-Nexus devices are still waiting for the Android 7.0 Nougat rollout, Lenovo has plans to release the update to its Moto devices as early as the Q4. Lenovo has confirmed that customers can "expect to see Android N on the Moto Z family and Moto G4 beginning in Q4."
DroidLife cites a Motorola spokesperson for the rollout timeline. Thus, users of the Moto Z, Moto Z Force, and the recently launched Moto Z Play can expect to receive the Android 7.0 Nougat update sometime in the next quarter. While the spokesperson only mentioned the Moto G4, we can expect the Moto G4 Play and the Moto G4 Plus to receive the update in roughly the same timeline as yet.
You should keep checking your Moto phone's notifications to see if there is an OTA update. Meanwhile, you can also head to the Motorola's software update page to know about the upgrade for your phone.
To note, the Moto Z family has yet not hit Indian shelves, and Lenovo has announced to launch it on October 4 in India. There is no clarity yet which Moto Z smartphone company is planning to launch - the Moto Z, Moto Z Force, or the Moto Z Play - or possibly all of the them.