Letâs Backup the Android contacts. On the Android phone, open the âPeopleâ or âContactsâ app depending on the phone model. Tap âMoreâ or the three dots symbol on the top right of the screen. On older Android phones, when in the âContactsâ app, tap on the phone âMenuâ button and then select âImport/Exportâ.Choose to export contacts to the device storage. Now connect the Android phone to the computer via the USB cable. If your phone is secured with a pin lock, make sure you unlock it.etâs Backup the Android contacts. On the Android phone, open the âPeopleâ or âContactsâ app depending on the phone model. Tap âMoreâ or the three dots symbol on the top right of the screen. On older Android phones, when in the âContactsâ app, tap on the phone âMenuâ button and then select âImport/Exportâ.