Can you reuse a SSD after applying a Zero-Fill software?

I am returning my laptop to the retailer but I have had it for 1 month, In this time I have stored some confidential information, Because of this I am planning to zero fill my SSD using http://ift.tt/1nfg49E or http://ift.tt/PX3Rqr

Once I have done the zero fill, will I be able to easily install windows 8.1 back on it? By easy I mean a normal approach, possibly involving some formatting/partitioning.

I must be able to install windows 8.1 because the retailer will check to see if it works.

I am not concerned that zero filling can reduce the SSD read/write cycles as the laptop is faulty in other areas anyway.

An except from Secure Erase Q&A page states

Q:  What is the difference between secure erase and enhanced secure erase?

A:  Secure erase overwrites all user data areas with binary zeroes.  Enhanced 
secure erase writes predetermined data patterns (set by the manufacturer) to 
all user data areas, including sectors that are no longer in use due to 
reallocation. ***NOTE:  the enhanced secure erase option is not supported by 
all ATA drives.

Am I going about this the wrong way, is there something better I should do?