His narrow statement is correct. We will see our animals again, and when the earth is finally restored again, they will be, just as we will be. Nothing was created to die. Man wasnt. Animals were not. Death is the enemy and was not created by God during His 6 days of creation. Mans fall ushered death into the world. God never declared death to be part of his “very good” creation.
http://www.openbible.info/topics/animals_after_death
Amen