Frangipanis need to be planted at same depth as they were in the container and mulches kept away from touching the base of the plant. Their trunks are prone to fungal decay, particularly in cold, wet weather.
You can grow frangipanis in containers and use premium-grade potting mix without adding wetting agents. Terracotta pots benefit their growth. They are porous, which helps drainage while discouraging root-rot. Sometimes container-grown frangipanis can become top-heavy and the weight of the terracotta pot balances this.
Terracotta also warms in sunshine, helping frangipani plants succeed in temperate climates.
Transplant your frangipani plant during warm seasons when recovery is fastest, making sure that as many as possible roots remain, then firmly stake until strong anchoring roots develop, this usually takes about 12 months.