No, this is the lovey fluffy preaching that is ruining the Church, the scripture says it is by believing in Jesus that you are saved, Im quite sure that a animal does not know who Jesus is or belief in him.
If anyone knows any scripture that says against that I would love to see it.
"That if thou shalt confess with thy mouth the Lord Jesus, and shalt believe in thine heart that God hath raised him from the dead, thou shalt be saved" - Romans 10:9
Read Romans 8:18-23. After reading that, I don't know how you can say that animals who are part of creation - God's amazing and beautiful creation - will not be a part of heaven. It is not talking about animals being "saved." It is saying that they will be restored. They do not need to be saved.