Browserstack
iOS
Mockzilla should work out of the box on iOS with Browserstack.
Android
Browserstack seems to proxy local traffic by default. In your client app you'll need to bypass any proxy.
OkHttp Example
OkHttpClient.Builder()
.proxy(Proxy.NO_PROXY)
.protocols(listOf(Protocol.HTTP_1_1)).build()
Ktor Example:
See demo app example here.