An integrated heat spreader includes channel structures assembled in a frame. Each channel structure is independent of the other, and can be used to dissipate heat from integrated circuitry at a specific location within a package, and without allowing heat from that particular location to propagate to integrated circuitry at other locations within the package. Each channel structure can be implemented with metal having a high thermal conductivity (e.g., copper). The channel structures can be used in conjunction with liquid-based cooling or air-based cooling. The frame can be implemented with low thermal conductivity molding compound or plastic so the heat transfer from one channel structure to another is inhibited. The channel structures can have different configurations (e.g., straight, pillars, and/or pin fins) to provide different rates of flow, mixing, and/or cooling. The flow direction of air or liquid for the channel structures can be the same (parallel) or different (counter).