In order to apply patches to a standalone ESXi host, it must be in Maintenance Mode. Since all the VMs would be shut down, the vCenter Server Appliance (VCSA) and its Update Manager won't be available.
The easiest way I know of to apply current (or desired) patches is to use the VMware ESXi Patch Tracker
on the v-Front (VMware Front Experience) website, maintained by vExpert Andreas Peetz. Be sure to read the Help page.
Note: When you click on the link next to the word "Imageprofile", a dialog box with instructions and the requisite CLI commands appears, ready to copy and paste. If the box doesn't appear, check to see if you have popups disabled for the site, and enable them.
The basic process is:
1. Browse to the site and select your desired patch. Click on the link to open the dialog box so you can copy/paste.
2. SSH into your ESXi host as root.
3. Open the firewall so you can access the patch files. (first line that begins with "esxcli")
4. Download and install the patch files (monitor for error messages) (the next two lines make up the patch install command)
5. Close the firewall (fourth line, also begins with "esxcli")
6. Reboot the ESXi host to complete the installation
7. Verify that the host matches the patch level.
Note: Because my ESXi host isn't 100% hardware compatible with ESXi 7, I have to append "--no-hardware-warning" to the end of the patch install command. If I forget, the patch won't install, but posts an error message informing me about adding it.
I find it easier to open a text editor, paste the patch command and add the "--no-hardware-warning" when I'm installing the patch, That way I know it's there.
I hope this helps.