According to DeepLearning.AI, TensorFlow callbacks play a significant role in optimizing model training by providing tools for monitoring, saving checkpoints, and performance enhancement. These features can be crucial for traders who rely on machine learning models for predictive analytics in cryptocurrency markets, as they ensure the models are efficiently trained and maintained. Such optimizations can lead to quicker decision-making processes and better handling of real-time data (source: DeepLearning.AI).