The Walt Disney Company has addressed their intentions regarding operating both the Disneyland park and Disney California Adventure park under the California operational restrictions:

Quote Originally Posted by Bob Chapek, CEO The Walt Disney Company

Here in California... we'll be able to reopen our Parks to Guests with limited capacity by late April ... to get [the Parks] ready for our Guests [we are] recalling more than 10,000 furloughed Cast and retraining them to be able to operate according to the State of California's new requirements.