Sprite flickering

When starting my 2D game in a lower resolution, some sprites of my game start flickering. It seems that it is because of the downscale of the sprite. It does become better if I reduce the max size setting, however if I do this my sprites look worse and even worse if I play in higher resolutions again. How do I solve this problem? I’d like to have high quality sprites in any resolution but without flickering (while moving mainly) Thanks.

One suggestion I can make is write your own sprite packer policy.

http://docs.unity3d.com/430/Documentation/Manual/SpritePacker.html