He told the Croydon Advertiser: "Looking at the injury list this morning, having got through most of March and into beginning of April when the team did not need to be changed, apart from tactically, we're now faced with a long list of injuries".
Yohan Cabaye is set to miss Crystal Palace's Premier League match against Arsenal with a calf injury, leaving Sam Allardyce with an injury crisis for the crucial London derby.
Dann came on as a half-time substitute at Stamford Bridge following an injury to fellow centre-back James Tomkins.
"It's not nice going behind but I think it shows the character that we've got in the dressing room".
Loic Remy has returned to training with Crystal Palace and could be available on Wednesday although Fraizer Campbell (knock) and James McArthur (back spasms) are expected to remain out of action.
Palace are three points above the drop zone after this 3-1 defeat by Southampton and they face five of the current top six in the table in their final eight fixtures.
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"We shouldn't have let that happen last night". If we hadn't done what we've done (win four games in a row), we'd be dead and buried now. I can't for the life of me find any reason why the assistant hasn't seen Wilfried in control of the ball being completely bowled over by the opposition player from behind. You are into single figure games, the bell starts ringing.
"You have got to be courageous and stand up and be counted if you want to survive".
With Arsenal, Liverpool, Tottenham, Manchester City and Manchester United to play before the end of the season, Allardyce can not yet sleep easily. This is tough, particularly mentally.
Mauricio Pochettino will be keen on bolstering his attacking options this summer as he looks for more regular sources for goals beyond Harry Kane, and Zaha will certainly add a new dynamic to the team while offering competition for the likes of Christian Eriksen and Heung-Min Son.
Crystal Palace have won all four of their Premier League games in which Mamadou Sakho has played, keeping three clean sheets in the process.