Arthur was appointed Pakistan's coach last week, filling the position vacated by Waqar Younis in April.
"I will be tough on discipline and that's the way we can get better and better results," he was quoted as saying by prominent cricket website Espncricinfo on Tuesday.
"I want everybody to start playing for the team and I don't want any selfish players around.
"Our bowling is good, but we need to lift our batting massively. I will also be tough on fielding and fitness, and need players who can play long term, and these issues are non-negotiable. I also want players who aren't prepared to be bullied," he said.
Earlier this month, Ahmed Shehzad and Umar Akmal were left out of the training camp for the England tour on disciplinary grounds.
Waqar's report following Pakistan's early exit from the World T20 had also highlighted concerns around Shehzad and Akmal's attitudes, and the former coach had suggested the pair should be made to re-earn their place in the national squad with performances in domestic cricket .
Ranked No. 9 in ODIs after the ICC 's annual update, Pakistan have won only three bilateral series in the format since December 2013, of which two were against Zimbabwe.
Pakistan will travel to England and Ireland in July and September, where they are scheduled to play four Tests, five ODIs and one T20I against England, and two one-day matches against Ireland. Arthur admitted the conditions would challenge the Pakistan players .
"For Pakistan players , those conditions are trying, but I want the team to be up for the challenge. Without a doubt we will go to win ... If the players show improvement, then I know I am doing my job."