How can deploy signed APK when click Run in Android Studio?

Usually I do it from command line, installing via "adb install -r file.apk" (-r to preserve app's data)

Also it can be done via Gradle and project settings, see answers here: Android Studio - Run signed apk on emulator

Add these values to your .gradle:

signingConfigs{
    debug{
        keyAlias 'your key alias'
        keyPassword 'your keypassword'
        storeFile file('keystore path')
        storePassword 'your storepassword'
    }
}
buildTypes {
    debug{
        signingConfig signingConfigs.debug
    }
}  

The keystore path in the file will be something like E:/xxx/xxx/xx.keystore.