Not many strategies can be used for this zombie, since the Goatify effect is unable to be reversed on the transformed zombie. The least you can do is to just try to use it as you would a Skunk Punk, as both have the same stats and tribe and do not have any actual abilities available. Alternatively, the player can use it as a cheap shield from attacks. As a Pet zombie, it can have synergy with Zookeeper and Cat Lady, however this requires it to be Bounced first or if Goatify was used. Unlife of the Party can also do good with this.
Against
Almost every attack from any plant or damaging trick will be able to take it down, so there should not be any difficulty defeating it. As Rose, avoid transforming a zombie into a Goat if there is a Cat Lady, Unlife of the Party, or Zookeeper on the lawn, as they will get buffs from it.
Goat's statistics before version 1.2.11 (note the Plant Classes)
Old card
Camel Crossing being used on Goat along with other Zombies
Trivia
Before the 1.2.11 update, it was the only card in the game with the opposing side's classes, being Kabloom and Smarty, which are the classes that Nightcap leads.
Rose's types are Solar and Smarty, one which is different.