Rather than attacking the FA's stance on the issue, head of media Adrian Bevington claimed that Brooking was only highlighting procedural problems the former England midfielder has been brought in to sort out.
Bevington said: 'Trevor has never said it was wrong to leave Rio Ferdinand out of the England team.'
Palios's trip to Madrid is likely to coincide with a visit by Eriksson to watch Beckham in action for Real in his new central midfield berth.
The £25million signing, sidelined with a gashed ankle, said: 'When I spoke to him last he said he would be over to see a game pretty soon when I am playing again. But he is a busy man and he has a lot of players to watch.'
Real missed the industry of Beckham as they lost 1-0 to Real Sociedad on Saturday and conceded the honour of being Spain's 'halfway champions' to Valencia.
Deportivo La Coruna, the only other side with any realistic title aspirations, are a further five points adrift.
Madrid have fined their Brazil striker Ronaldo £4,000 for his unauthorised trip to London last week which aroused speculation about transfer talks with Chelsea.