Lord Hague, made the comments while attending the launch of Russell George's campaign to be re-elected as Montgomeryshire Assembly Member at the Elephant & Castle in Newtown.
David Cameron is facing mounting pressure surrounding his tax affairs after his revelation that he owned shares in his father's Panama-based offshore trust. Lord Hague said: "I do feel for David Cameron during this difficult time. However he is a tough and effective Prime Minister and he has been through some tough times before.
"I think he is definitely the right leader for this county."
Last year the former Conservative Party leader moved to a new home at Cyfronydd Hall, near Llanfair Caereinion, with his wife Ffion.
Lord Hague added that he was settling well into his new home in Mid Wales.
He added: "It is very good. We love the area. We are steadily meeting more people and they are all very friendly.
"The beautiful countryside is a real plus. We feel very settled and hope to stay here for the foreseeable future."
Lord Hague urged Welsh residents to vote Conservative in the general election. He said: "I think Russell is the right person. He is an exceptionally hard-working AM.
"He also knows and represents the agricultural workers in the area and has a personal touch which really counts in this community.
"Labour has had it for far too long in Wales and has had a bad effect. The health system is suffering badly and Wales needs a shake-up."
Lord Hague also revealed that he was glad the EU referendum had been called.
He added: "There are people on both sides but I think there are great risks if we leave the EU during a challenging time."
Mr George said: "I am delighted Lord Hague has agreed to support my campaign. His endorsement is a great boost."