Methods, apparatus, systems, and articles of manufacture to improve packet flow among virtualized servers are disclosed. An example apparatus includes memory, and hardware to execute instructions to generate a load balance list identifying first ones of virtualized network resources having respective values of a utilization status parameter that satisfy a first threshold, in response to at least a number of the first virtualized network resources not satisfying a load balance list threshold, update the load balance list to additionally identify second ones of the virtualized network resources, the second ones of the virtualized network resources having respective values of the utilization status parameter that satisfy a second threshold, the first threshold different from the second threshold, and adjust a policy of a physical hardware resource corresponding to one or more of the virtualized network resources based on the load balance list.