There are many hypervisors compatible with Kali Linux, as can be seen on the download page: https://www.kali.org/.
Interestingly, there is no pre-built native ESXi image. Indeed, in the Virtual Machines part there is a VMware Kali Linux image, but this is for the VMware Workstation product, which is not natively compatible with the VMware ESXi product.
I'm going to detail here a method for importing the VMware Workstation image on a VMware ESXi host.
The first thing to do is to connect to the official download page: https://www.kali.org
user@host:~$ mkdir KALI && 7z e ./kali-linux-2022.2-vmware-amd64.7z -o./KALI/
user@host:~$ ssh root@ESXi_IP
[root@localhost:~] df -h
Filesystem Size Used Available Use% Mounted on
VMFS-6 465.0G 286.4G 178.6G 62% /vmfs/volumes/500G
VMFS-L 119.8G 3.9G 115.9G 3% /vmfs/volumes/OSDATA-0269c4cb-fe6feb41-f534-d4be32a1d43e
vfat 4.0G 203.8M 3.8G 5% /vmfs/volumes/BOOTBANK1
vfat 4.0G 64.0K 4.0G 0% /vmfs/volumes/BOOTBANK2
[root@localhost:~] cd /vmfs/volumes/500G/KALI
[root@localhost:~] mv kali-linux-2024.3-vmware-amd64.vmdk OLD.vmdk
[root@localhost:~] vmkfstools -i OLD.vmdk kali-linux-2024.3-vmware-amd64.vmdk
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