In this paper, we propose a framework for data delivery in nano-scale networks, where numerous wireless sensors are distributed on a human body, small object, tiny plant root, etc. Our framework caters for green energy-efficient applications in the Internet of Nano Things (IoNT) where data is relayed via nano-routers from a multifarious nanonodes towards a gateway connected to a large-scale network such as the Internet. We consider the entire network energy while choosing the next hop for our routed packets in the targeted wireless nanosensor network. Our delivery approach considers resource limitations in terms of hop count, and remaining energy levels. Moreover, extensive simulations are performed and the results confirm the effectiveness of the proposed approach in comparison to other baseline energy-aware routing protocols.