Can anyone help me with the process of making an executable python script in Unix?
You didn't reveal which Unix. Also you didn't tell if you researched this question. That said I'd find out which Unix I'm running and then look to see if there is a Python for that Unix. After Python is installed then you run it just like the millions of other Linux machines so I'll now write about that.
This is the general answer for this query-
For this to happen, two conditions must be met:
chmod u=rwx,g=rx,o=r myfile
"This example uses symbolic permissions notation. The letters u, g, and o stand for "user", "group", and "other". The equals sign ("=") means "set the permissions exactly like this," and the letters "r", "w", and "x" stand for "read", "write", and "execute", respectively. The commas separate the different classes of permissions, and there are no spaces in between them" From https://www.computerhope.com/unix/uchmod.htm