"Sporting is not this, Sporting cannot be this", the club said in a statement.
The league also condemned in a statement "the violent acts the players and coaching staff of Sporting Lisbon were subject to today".
"It was a distressing situation and we are all shocked", the striker, with 27 league goals to his name this season, told Dutch news website Algemeen Dagblad.
Sporting missed out on a Champions League berth for next season after a loss in the last round of the Portuguese league cost it a second-place finish last weekend.
Sporting's training center is in Alcochete, about 20 kilometers south of Lisbon. Tuesday's events were hardly ideal preparation for their upcoming Portuguese Cup final against Aves on Sunday evening.
The horrific incident left Portugal's President Marcelo Rebelo de Sousa "worried by the image this projects of Portugal to the world".
Supporters group "Juventude Leonina" issued a statement on social media strongly condemning the attack. The perpetrators of these incidents are not fans of football.
"We can not in any form be associated with acts of vandalism and aggression towards players, coaches and staff of the professional football department, nor with attitudes which constitute the practice of a crime".
Further support came from Iker Casillas, FC Porto's veteran Spanish goalkeeper who used Twitter to voice his "solidarity with my colleagues at Sporting".
In April, De Carvalho claimed he was suspending 19 of the first-team players following their Europa League exit at the hands of Atletico Madrid, although he later appeared to back down.