Communications Minister Paul Fletcher has declared press freedom a "bedrock principle" for the government as he faces growing calls to support a full-scale parliamentary inquiry following last week's police raids on multiple media outlets.

Mr Fletcher signalled the government was open to a review of the issue as Labor indicates support for the exercise while crossbench parties including Centre Alliance push for changes to the law and a full investigation.

Paul Fletcher has been appointed Communications Minister. Credit:Alex Ellinghausen

"I make the point that our government very strongly supports press freedom. It really is a bedrock principle of the way that democracies operate," Mr Fletcher told The Sydney Morning Herald and The Age.

"We understand that last week's events would cause anxiety amongst journalists. It is very important that all of these processes are governed by the rule of law."