Have won 6 of their last 9 away fixtures. Only Man City have a better record over the same time period.

Away at the top 6, I think most teams in the division would take those 6 results overall:
Man City - Won 3-2
Liverpool - Lost 4-3
Tottenham - Lost 2-0
Arsenal - Won 3-2
Man Utd - Drew 0-0
Chelsea - Lost 3-1

Only Man City, Liverpool, Man Utd and Tottenham have scored more away goals than Palace this season. Our record against all of those at home is hardly the best. Liverpool apart, the rest tore us to shreds.