Selling pets is much like reselling recipes. You visit a vendor in most cases, buy cheap pets from them and then sell them for profit in the auction house.
Most expensive pets are harder to obtain however. They might be a drop from a monster or sold for something else than a few silvers, like all Argent Tournament pets.

If no one else is selling the pet and it was easy to obtain, ask 300g for it. If it's not available for the opposing faction or it was harder to acquire, ask 3000-8000g in the neutral auction house or in your local one. Note that you need patience for this! If the AH is flooded with the pet, put them into your bank and check back later.
Here are some average prices I've seen.






Note that faction restricted items will sell a for a lot more in neutral auction house!
Correction: Tiny Emerald Whelp drops from whelps in Feralas, not Swamp of Sorrows.
Sorry for the bad quality. File sizes were getting too big! You can find most vendor sold and dropped pets on the maps above. I didn't include pets that are created with a profession or would otherwise be too complicated to list.
Alliance only
Rabbit Crate (Snowshoe)
Value:

Cat Carrier (Bombay)
Value:

Cat Carrier (Cornish Rex)
Value:

Cat Carrier (Orange Tabby)
Value:

Cat Carrier (Silver Tabby)
Value:

Blue Moth Egg
Value:

White Moth Egg
Value:

Yellow Moth Egg
Value:

Great Horned Owl
Value:

Hawk Owl
Value:

Cat Carrier (White Kitten)
Value:

Teldrassil Sproutling
Costs Champion's Seals
Value:

Mechanopeep
Costs Champion's Seals
Value:

Ammen Vale Lashling
Costs Champion's Seals
Value:

Dun Morogh Cub
Costs Champion's Seals
Value:

Elwynn Lamb
Costs Champion's Seals
Value:

Horde only
Black Kingsnake
Value:

Brown Snake
Value:

Golden Dragonhawk Hatchling
Value:

Red Dragonhawk Hatchling
Value:

Silver Dragonhawk Hatchling
Value:

Prairie Dog Whistle
Value:

Enchanted Broom
Costs Champion's Seals
Value:

Sen'jin Fetish
Costs Champion's Seals
Value:

Durotar Scorpion
Costs Champion's Seals
Value:

Tirisfal Batling
Costs Champion's Seals


Mulgore Hatchling
Costs Champion's Seals
Value:

No faction restrictions
Tree Frog Box
Value:

Wood Frog Box
Value:

Blue Dragonhawk Hatchling
Value:

Brown Rabbit Crate
Value:

Mana Wyrmling
Value:

Red Moth Egg
Value:

Albino Snake
Value:

Calico Cat
Value:

Obsidian Hatchling
Value:

Ancona Chicken
Value:

Parrot Cage (Cockatiel)
Value:

Parrot Cage (Senegal)
Value:

Cockroach
Value:

Crimson Snake
Value:

Mechanical Chicken
Value:

Leaping Hatchling
Value:

Razormaw Hatchling
Value:

Ravasaur Hatchling
Value:

Gundrak Hatchling
Value:

Darting Hatchling
Value:

Deviate Hatchling
Value:

Razzashi Hatchling
Value:

Disgusting Oozeling
Value:

Green Helper Box
Value:

Red Helper Box
Value:

Jingling Bell
Value:

Snowman Kit
Value:

Cobra Hatchling
Value:

Proto-Drake Whelp
Value:

White Tickbird Hatchling
Value:

Tickbird Hatchling
Value:

Captured Firefly
Value:

Parrot Cage (Hyacinth Macaw)
Value:

Cat Carrier (Black Tabby)
Value:

Parrot Cage (Green Wing Macaw)
Value:

Azure Whelpling
Value:

Dark Whelpling
Value:

Tiny Crimson Whelpling
Value:

Tiny Emerald Whelpling
Value:

Tranquil Mechanical Yeti
Value:

Pet Bombling
Value:

Personal World Destroyer
Value:

De-Weaponized Mechanical Companion
Value:

Mechanical Squirrel Box
Value:

Magic Lamp
Value:

Lil' Smoky
Value:

Lifelike Mechanical Toad
Value:

Enchanted Lantern
Value:

Elementium Geode
Value:

Shimmering Wyrmling
Costs Champion's Seals
Value:
