There is some street parking (metered and non-metered) available on Willow Street, 15th Street, and other side streets around Loring Park. Alternately, there is a parking ramp on 14th Street between Spruce and LaSalle. For people staying at the Hyatt, the Loring Greenway is a nice 5-10 minute walk from the hotel to the park. See this map—the Hyatt is marked at B6, and the Loring Park Neighborhood Center is on the edge of the big lake, between B7 and B8. The Loring Greenway, as marked, connects them. The parking ramp is at B7.
To get to Solera from the park, take LaSalle Avenue heading North. Turn left on 9th Street, and Solera will be on your left as you cross Hennepin Avenue.
There is some metered street parking on 9th and surrounding streets. There is a parking ramp on 9th and Hawthorne, just one block past Hennepin. Also, Solera offers valet parking (attendants are on the 9th Street side). On the map linked above, Solera and nearby parking are marked between A5 and B5.