Against a well-organised Italian side, the Spanish struggled to get their zippy passing game going on a surface that appeared heavy and officials were out mowing the grass immediately after the match.
"A pitch that is so dry does not do football or the spectators many favours," Spain coach Vicente del Bosque told a news conference at which he also praised the Italian performance.
"If the pitch had been a bit quicker it would have been better for both teams and a better match," he added.
Spain needed a 64th-minute Cesc Fabregas equaliser to rescue a point after substitute Antonio Di Natale had fired Italy ahead four minutes earlier.
Spanish forward Fernando Torres, who squandered two chances to snatch a winner after coming on for the last 15 minutes, said the team had "complained a lot" to organisers about the dryness of the grass before kick-off.
Fabregas was also critical of the surface after the match. He said: "I don't want to complain, but we deserve much more. It is lamentable that we have to play on a pitch like this.
"It has been a difficult match, the most difficult one we have in the group against a very strong rival.
"After going behind it is not a bad result. We are still dependent on ourselves. We have shown character and played well."
Man-of-the-match Andres Iniesta and striker Fernando Torres also added their voices to the criticism.
"In the end they (Italy) were able to benefit a lot from the pitch," Torres said in an interview with Spanish television.
Iniesta added: "I think that for the spectator a pitch in good condition is always better."