The carrier molecules of the electron transport system are located in the cytosol.

Answer

### Step-by-Step Solution:

1. **Understanding the Electron Transport System (ETS)**: The electron transport system is a series of protein complexes and other molecules that transfer electrons from electron donors to electron acceptors via redox reactions. This process is crucial for ATP production in cellular respiration.

2. **Location of the ETS**: The electron transport system is primarily located in the inner mitochondrial membrane. Mitochondria are the organelles responsible for energy production in eukaryotic cells.

3. **Cytosol vs. Mitochondria**: The cytosol is the fluid portion of the cytoplasm where various cellular processes occur, but it does not contain the components of the electron transport system. Instead, the inner mitochondrial membrane, which is folded into structures called cristae, houses the carrier molecules of the ETS.

4. **Conclusion**: Given that the carrier molecules of the electron transport system are located in the inner mitochondrial membrane and not in the cytosol, the statement "The carrier molecules of the electron transport system are located in cytosol" is **false**.

### Final Answer:
The statement is **false**.

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