As an AI language model, I cannot browse the internet to verify current facts. However, I can provide you with general information about Eager Park based on the existing data available in my system.

Eager Park is not found in California but a number of parks in the state bear 'Eagle' in their names. One of them is the Eagle Falls Trail in the Emerald Bay State Park, which offers a stunning view of the Emerald Bay, a glacier-carved beauty in Lake Tahoe. Visitors can also explore the Eagle Lake Trail which is known for its beautiful wildflowers and the Eagle Rock, a massive granite formation that offers a panoramic view of the Desolation Wilderness.

For those who love history, the Golden Eagle Trail in Santa Clarita Valley is a great option. It is home to the ruins of a gold-mining town and offers a glimpse into the area's mining history.

Overall, the best time to visit California's Eagle parks depends on the location and the activities you want to engage in. The Eagle Falls Trail, for instance, is best visited from June to October when the snow has melted and the trails are more accessible. The Eagle Lake Trail, on the other hand, is best explored from July to September when the wildflowers are in full bloom.

It is worth noting that different sources may have different information regarding the parks, their attractions, and the best time to visit, so it is always good to do your own research and verify the information before making travel plans.