Install VMware Integrated openstack is difficult. If you have a few server the best thing is VMware but if you have thousends of nodes or have different hypervisor the best thing is openstack

Openstack is a virtualization management interface where it supports multiple hypervisors including VMware ESXi and KVM. It is possible to manage both hypervisors under the same Openstack deployment.

Openstack supports provisioning of baremetal machines under a project called Ironic.

VMware Integrated Openstack and Red Hat Openstack can both be managed solutions.

Can we go with barematel and install openstack on physical server ? Can we go on Redhat KVM ?

Yes to both questions. I don't know what you mean by VMware integrated OpenStack, but you can run OpenStack on VMware virtual machines.

EDIT

Vmware states:

VMware Integrated OpenStack is a VMware supported OpenStack distribution

So yes, you can use VMware Integrated OpenStack to create an OpenStack cloud.