The Blaugrana coach says his players' experience with difficult situations will allow them to brush aside the current boardroom turmoil at Camp Nou.
The 49-year-old left his post amid controversy over the summer signing of Neymar, saying he feared for the safety of his family after gun attacks on their home while they were on holiday.
However, Martino insists that his players have been through worse, having witnessed former teammate Eric Abidal and ex-coach Tito Vilanova battle cancer.
"Over the last few years, they have faced more serious problems; health issues of teammates and coaches," the Argentine told reporters after his team's straightforward 3-0 win over Malaga on Sunday night.
"The answer is not to talk but to do it on the pitch. It's been difficult to be professional and be focused this week, but we'll try until the last moment."
Lionel Messi failed to net against Malaga and has now not scored in La Liga since the end of September, but Martino says he has no worries over his compatriot's contribution.
"He can absolutely do as he pleases. Assist, press, move ... he can do it all. He attracts a lot of attention from the opposition," the Blaugrana boss pointed out.
"He sees passes and that he hasn't scored is not important."
Barcelona's next game is the second leg of its Copa del Rey tie with Levante on Jan. 29.