By default, the platform does not have this option. You can use the following CSS code to change the color of the Profile Dropdown menu background.

Please follow  the steps below:

1. Go to BuddyBoss > Theme Options

2. Under Custom Codes, enable CSS

3. Append the following:

.header-aside .wrapper {
    background-color: #color;
}

4. Save changes 

Note: Any modifications are considered as custom work already. Know more about our Support policy here: https://www.buddyboss.com/support-policy/