I have to install both 32 and 64bit oracle client to a 64bit windows as SSIS needs both to run
First installed 64bit without a glitch.
Then when I try to install 32bit, the setup app disappeared completely, after a few days struggling, I found the cure which is below.
Follow exactly what it says and 32bit was installed
I had the same issue and this answer may be a bit late now but this solved the issue.
Try creating the following registry entry:
Windows Registry Editor Version 5.00
[HKEY_LOCAL_MACHINE\SOFTWARE\Wow6432Node\ORACLE]
"inst_loc"="C:\\Program Files (x86)\\Oracle\\Inventory"