Which level in a food chain has organisms that have means of digesting cellulose?

Decomposers level.

Cellulose is a complex carbohydrate that is a major component of plant cell walls. Most animals lack the enzymes necessary to digest cellulose, so they cannot obtain energy from it. However, some microorganisms, such as fungi and bacteria, have the ability to break down cellulose into simpler sugars that they can use for energy. These microorganisms are known as cellulolytic organisms.

Cellulolytic organisms are found at the decomposer level of the food chain. Decomposers are organisms that break down dead plants and animals into simpler substances that can be recycled back into the environment. Cellulolytic organisms play an important role in the decomposition of plant material, and they help to release nutrients back into the soil that can be used by other plants.