Senior staff members at the Environmental Protection Agency frequently felt pressured by Scott Pruitt, the administrator, to help in personal matters and obtain special favors for his family, according to interviews with four current and former E.P.A. officials who served as top political aides to Mr. Pruitt.

The officials said that Mr. Pruitt, who “had a clear sense of entitlement,” in the words of one of them, indicated that he expected staff members’ assistance with matters outside the purview of government…

The aides said E.P.A. staff members helped arrange meetings and phone calls for Mr. Pruitt with influential donors to his past campaigns and political causes in Oklahoma, where he served as a state lawmaker and attorney general before joining the Trump administration. The appointments — including with Philip Anschutz, a Denver-based billionaire — were kept off Mr. Pruitt’s public schedule, the aides said, because it was clear the sessions were not about E.P.A. business, even though agency staff was involved in setting them up.