'Invader Zim: Enter The Florpus' Promotional Photo

relationship between Gaz and Zim in the show could be accurately described as unfriendly and aloof. Acquaintances at best, neither character has ever expressed anything close to affection for or even a friendly demeanour towards the other. In fact, Gaz has hardly spoken more than a few lines to Zim, and clearly considers him a vague nuisance rather than an actual threat to Earth.
Their contact throughout the series is very limited. Not unlike Dib's disregard for GIR, Zim often brushes his mortal enemy's little sister off when dealing with the pair of them. It is hinted in Future Dib that he...

They always ask me Sasha Green what is your race?
I only tell 'em I'm from a faraway place.
I do have a really annoying little sis,
But when she's driving her new Bentley
I'll be flying my spaceship
Oh oh oh oh oh oh oh oh oh oh
No dial tone use my fingers to phone home
Oh oh oh oh oh oh oh oh oh oh
My finger's good for phonin'
'Cause I don't get charged for roamin'
(Chorus)
Can't deny
Can't deny
That I am really from outer space
Can't deny
Can't deny
That I am really from outer space
Ou ou ou outer space
ou ou outerspace
Ou ou ou outer space
ou ou outerspace

I pimp my flying saucer out with...

I woke up with my wig sticking to my head because of the moister from yesterdays tears.the radio was playing "Gone Forever" by three days grace."So I'll stay up all night,with these bloodshot eyes while these walls surround me with the story of our life..."i sang along but trailed off. what was i to do now that i knew that i had killed my perfect enemy? my arch enemy? i curled up on the bed, thinking. i listened to the song and wished I could be glad he was gone forever. but i could only find one reason to be happy: he couldn't expose us."and now your gone forever..." sang cupcake from downstairs.I...

"Kat! What is the meaning of this!?" Zim yelled. "You should be proud of me!" Kat said.
"But now we're going to have these miniature Kat's running everywhere!"
"Face it, Zim! I'm growing up! I'm a mother now! Inside these eggs, are fourteen tiny, helpless, lives depending on me!"

Zim decided to let her keep her eggs. One day they hatched. She only had nine babies, though. Five eggs didn't hatch. She threw them out the window. The names were Crystal, Darkness, Shadow, Star, Xavier, Chi, Kiko, Sparky, and there was one oddball. He was purple, and his name was Horatio. Horatio had his mother's...