"unconditional admiration" is correct and usable in written English.
You can use it to describe an admiration or respect for someone that is not dependent on any particular conditions. For example, "She held a deep and unconditional admiration for her parents, even when they disagreed with her decisions."
Not everyone has unconditional admiration for Dr. Redelmeier's work.
(A mirror image can be found in his unconditional admiration for the music of his friend György Ligeti, whom he first met in 1945: "I … love this music from the bottom of my heart, which resounds in Atmosphères as if it welled up inside me, which shakes me so in the Dies Irae [of Ligeti's Requiem], which lifts me on high in the violin concerto").
I felt like I had a lifeline to a community of Creampuffs that I could look to with unconditional admiration.
However, if we aren't careful we can wind up treating people at work like our dogs: rewarding those who heap unthinking, unconditional admiration on us.
But the one thing that we all have in common is an unconditional love and admiration and respect for Nina Simone.
They are man's best friend and offer unconditional love and admiration that makes everyday with them better.
When men hit middle age an internal feeling crops in that most of their life is over and they are never going to get what they deserve i.e. unconditional love and admiration.
Love can be defined in various ways, such as devotion, admiration, attachment, unconditional care, and sexual desire.
"To families, friends, neighbours, loved ones, and all those caught up in the painful process of recovery, let us say to them: our admiration for you is unconditional.
Liberals and the political left supported her policies unconditional, and she and Germany found worldwide ostensible admiration.
