1. An apparatus, comprising: a memory; at least one processor; and program code stored in the memory and configured upon execution by the at least one processor to manage virtualization in a computing environment of the type including one or more fabrics coupling a plurality of hosts to one or more storage systems, the program code configured to: determine a fabric limit for a limited fabric resource of a first fabric among the one or more fabrics, wherein the limited fabric resource constrains a capacity of the fabric and the fabric limit comprises a limit on the limited fabric resource; determine an allocation of the limited fabric resource for the first fabric wherein the allocation is associated with a current usage of the limited fabric resource; and control placement of a virtual machine on a first host among the plurality of hosts using at least one processor based at least in part upon the determined fabric limit and determined allocation of the limited fabric resource for the first fabric such that the virtual machine is selectively deployed on the first host to access a storage system among the one or more storage systems using the first fabric during execution of the virtual machine on the first host; wherein the limited fabric resource comprises a fabric login for a storage switch in the first fabric, and wherein the fabric limit comprises an active login limit of the storage switch.